Find the H.C.F. of 18, 54, and 72 is:
Given
Numbers = 18, 54, 72
Formula Used
Highest Common Factor (H.C.F) is the product of the lowest powers of common prime factors.
Solution
Find the prime factorization of each number:
The common prime factors are 2 and 3.
Lowest power of 2 is 2^1.
Lowest power of 3 is 3^2.
H.C.F = 2 \times 3^2 = 18
Final Answer
So the correct answer is (a)
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishFind the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
Suggested Test Series
Suggested Test Series
Find the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
