GCD of 310, 624, 560, 757 Calculator

Given Input numbers are 310, 624, 560, 757

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 310, 624, 560, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 624, 560, 757 is 1.

Therefore, GCD of numbers 310, 624, 560, 757 is 1

Given Input Data is 310, 624, 560, 757

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 757 is 757

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(310, 624) = 96720

GCD(310, 624) = ( 310 x 624 ) / 96720

GCD(310, 624) = 193440 / 96720

GCD(310, 624) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

GCD of 310, 624, 560, 757 is 1

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1. What is the GCD of 310, 624, 560, 757?

GCD of 310, 624, 560, 757 is 1

2. Where do I get the detailed procedure to find GCD of 310, 624, 560, 757?

You can find a detailed procedure to find GCD of 310, 624, 560, 757 on our page.

3. How to find GCD of 310, 624, 560, 757 on a calculator?

You can find the GCD of 310, 624, 560, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.