GCD of 756, 391, 705, 616 Calculator

Given Input numbers are 756, 391, 705, 616

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 756, 391, 705, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 391, 705, 616 is 1.

Therefore, GCD of numbers 756, 391, 705, 616 is 1

Given Input Data is 756, 391, 705, 616

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 391 is 17 x 23

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(756, 391) = 295596

GCD(756, 391) = ( 756 x 391 ) / 295596

GCD(756, 391) = 295596 / 295596

GCD(756, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 756, 391, 705, 616 is 1

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1. What is the GCD of 756, 391, 705, 616?

GCD of 756, 391, 705, 616 is 1

2. Where do I get the detailed procedure to find GCD of 756, 391, 705, 616?

You can find a detailed procedure to find GCD of 756, 391, 705, 616 on our page.

3. How to find GCD of 756, 391, 705, 616 on a calculator?

You can find the GCD of 756, 391, 705, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.