GCD of 64, 972, 604, 748 Calculator

Given Input numbers are 64, 972, 604, 748

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 64, 972, 604, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 972, 604, 748 is 4.

Therefore, GCD of numbers 64, 972, 604, 748 is 4

Given Input Data is 64, 972, 604, 748

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 748 is 2 x 2 x 11 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(64, 972) = 15552

GCD(64, 972) = ( 64 x 972 ) / 15552

GCD(64, 972) = 62208 / 15552

GCD(64, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 604

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

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

GCD(4, 604) = 2416 / 604

GCD(4, 604) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 748

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

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

GCD(4, 748) = 2992 / 748

GCD(4, 748) = 4

GCD of 64, 972, 604, 748 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 580, 562, 878
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• GCD of 40, 760, 592, 774
• GCD of 26, 845, 241, 963

1. What is the GCD of 64, 972, 604, 748?

GCD of 64, 972, 604, 748 is 4

2. Where do I get the detailed procedure to find GCD of 64, 972, 604, 748?

You can find a detailed procedure to find GCD of 64, 972, 604, 748 on our page.

3. How to find GCD of 64, 972, 604, 748 on a calculator?

You can find the GCD of 64, 972, 604, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.