Given:
When dividing 1657, the remainder is 6.
When dividing 2037, the remainder is 5.
Solution:
If a number N leaves a remainder of 6 when dividing 1657, then 1657 − 6 = 1651 is divisible by N.
Similarly, if N leaves a remainder of 5 when dividing 2037, then 2037 − 5 = 2032 is divisible by N.
1651 = 13 × 127
2032 = 4 × 4 × 127
HCF of 1651 and 2032 = 127
Thus, The greatest number N is 127.
English
80 Questions
160 Marks
60 Mins English English80 Questions160 Marks60 Mins English English20 Questions40 Marks25 Mins EnglishThe number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
The greatest number, which divides 711 and 1040 to leave 48 and 20 respectively as remainders, is:
The greatest number that divides 210, 1245 and 2160 is:
There are four equilateral triangles with sides 95 cm, 76 cm, 57 cm and 152 cm. What maximum size scale (in cm) can measure all of them exactly?
The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
Suggested Test Series
Suggested Test Series
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
The greatest number, which divides 711 and 1040 to leave 48 and 20 respectively as remainders, is:
The greatest number that divides 210, 1245 and 2160 is:
There are four equilateral triangles with sides 95 cm, 76 cm, 57 cm and 152 cm. What maximum size scale (in cm) can measure all of them exactly?
The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
