Question

8. Two tankers can hold 1020litres and 1190litres of oil respectively. Find the largest capacity of a container which can be used to fill these tanks in exact number of times?

Please answer this please. If you don't know the answer just leave it.

Note :
. must be BRAINILIST answer. ​

Answer 1

the required capacity of the container is the HCF of these two containers.

first, write down the prime factorization of the two numbers.

1020= 2 x 2 x 3 x 5 x 17

1190= 2 x 5 x 7 x 17

the common factors are(write lowest exponential powers)= 2,5,17

hence hcf of 1020 and 1190 is = 2 x 5 x 17 = 170

therefore, the required capacity of the container is 170 units