Question

20. Find the greatest number that will divide 455, 582 and 710 leaving remainders 14, 15
and 17 respectively.​

Answer 1

Answer:

HELLO DEAR,

GIVEN: 455,582,710.

To find the greatest number that will divide the above number and leaving reminder 14,15 and 17 respectively.

SOLUTION: First subtract the remainder to given number then find HCF of the number to get greatest number .

455- 14= 441

582-15= 567

710-17= 693

So, the number after subtraction is 441,567,693.

Now, we have to find HCF,

441= 3×3×7×7

567=3×3×3×3×7

693=3×3×7×11

------------------------------

HCF= 3×3×7

=63.

Therefore the greatest number is 63 by which 455,582,710 divide to get remainder 14,15 and 17 respectively.

I HOPE IT'S HELP YOU DEAR,

THANKS.

Answer 2

Answer:

Step-by-step explanation:

GIVEN: 455,582,710.

To find the greatest number that will divide the above number and leaving reminder 14,15 and 17 respectively.

SOLUTION: First subtract the remainder to given number then find HCF of the number to get greatest number .

455- 14= 441

582-15= 567

710-17= 693

So, the number after subtraction is 441,567,693.

Now, we have to find HCF,

441= 3×3×7×7

567=3×3×3×3×7

693=3×3×7×11

------------------------------

HCF= 3×3×7

=63.

Therefore the greatest number is 63 by which 455,582,710 divide to get remainder 14,15 and 17 respectively.