GCD of 871, 757, 974, 964 Calculator

Given Input numbers are 871, 757, 974, 964

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 757

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

1, 757

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 871, 757, 974, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 757, 974, 964 is 1.

Therefore, GCD of numbers 871, 757, 974, 964 is 1

Given Input Data is 871, 757, 974, 964

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 757 is 757

Prime Factorization of 974 is 2 x 487

Prime Factorization of 964 is 2 x 2 x 241

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(871, 757) = 659347

GCD(871, 757) = ( 871 x 757 ) / 659347

GCD(871, 757) = 659347 / 659347

GCD(871, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 871, 757, 974, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 754, 397, 559
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• GCD of 339, 487, 261, 667
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• GCD of 992, 763, 734, 878

1. What is the GCD of 871, 757, 974, 964?

GCD of 871, 757, 974, 964 is 1

2. Where do I get the detailed procedure to find GCD of 871, 757, 974, 964?

You can find a detailed procedure to find GCD of 871, 757, 974, 964 on our page.

3. How to find GCD of 871, 757, 974, 964 on a calculator?

You can find the GCD of 871, 757, 974, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.