GCD of 945, 625, 316, 736 Calculator

Given Input numbers are 945, 625, 316, 736

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 945, 625, 316, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 625, 316, 736 is 1.

Therefore, GCD of numbers 945, 625, 316, 736 is 1

Given Input Data is 945, 625, 316, 736

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(945, 625) = 118125

GCD(945, 625) = ( 945 x 625 ) / 118125

GCD(945, 625) = 590625 / 118125

GCD(945, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 316

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

LCM(5, 316) = 1580

GCD(5, 316) = ( 5 x 316 ) / 1580

GCD(5, 316) = 1580 / 1580

GCD(5, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 945, 625, 316, 736 is 1

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1. What is the GCD of 945, 625, 316, 736?

GCD of 945, 625, 316, 736 is 1

2. Where do I get the detailed procedure to find GCD of 945, 625, 316, 736?

You can find a detailed procedure to find GCD of 945, 625, 316, 736 on our page.

3. How to find GCD of 945, 625, 316, 736 on a calculator?

You can find the GCD of 945, 625, 316, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.