GCD of 264, 974, 58, 767 Calculator

Given Input numbers are 264, 974, 58, 767

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 974

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

1, 2, 487, 974

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 264, 974, 58, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 974, 58, 767 is 1.

Therefore, GCD of numbers 264, 974, 58, 767 is 1

Given Input Data is 264, 974, 58, 767

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 58 is 2 x 29

Prime Factorization of 767 is 13 x 59

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(264, 974) = 128568

GCD(264, 974) = ( 264 x 974 ) / 128568

GCD(264, 974) = 257136 / 128568

GCD(264, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

GCD of 264, 974, 58, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 109, 79, 645
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• GCD of 977, 324, 20, 460

1. What is the GCD of 264, 974, 58, 767?

GCD of 264, 974, 58, 767 is 1

2. Where do I get the detailed procedure to find GCD of 264, 974, 58, 767?

You can find a detailed procedure to find GCD of 264, 974, 58, 767 on our page.

3. How to find GCD of 264, 974, 58, 767 on a calculator?

You can find the GCD of 264, 974, 58, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.