GCD of 525, 387, 640, 971 Calculator

Given Input numbers are 525, 387, 640, 971

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 525, 387, 640, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 387, 640, 971 is 1.

Therefore, GCD of numbers 525, 387, 640, 971 is 1

Given Input Data is 525, 387, 640, 971

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 971 is 971

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(525, 387) = 67725

GCD(525, 387) = ( 525 x 387 ) / 67725

GCD(525, 387) = 203175 / 67725

GCD(525, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 640

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

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

GCD(3, 640) = 1920 / 1920

GCD(3, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 525, 387, 640, 971 is 1

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1. What is the GCD of 525, 387, 640, 971?

GCD of 525, 387, 640, 971 is 1

2. Where do I get the detailed procedure to find GCD of 525, 387, 640, 971?

You can find a detailed procedure to find GCD of 525, 387, 640, 971 on our page.

3. How to find GCD of 525, 387, 640, 971 on a calculator?

You can find the GCD of 525, 387, 640, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.