Question

find the largest number which divides 378 and 510 leaving remainder 6 in each case.

Answer 1

firstly remainder should be subtracted
378-6=372
510-6=504
finding hcf
372=2*2*3*31
504=2*2*2*3*3*7
hcf=2*2*3=12
12 is the answer

Answer 2

12 is the largest number that divides both 378 and 510 gives the remainder 6.  

Solution:

To find largest number which divides 378 and 510 can be found by subtracting given numbers with its remainder  

378 – 6 = 372

510 – 6 = 504

Now let us find HCF of the numbers 372 and 504,  

The factors of $372 = 2 \times 2 \times 3 \times 31$

The factors of $504 = 2 \times 2 \times 2 \times 3 \times 3 \times 7$

Factors that are common in both the parts is $2 \times 2 \times 3$  

HCF of 372 and 504 is 12.