GCD of 456, 632, 750, 652 Calculator

Given Input numbers are 456, 632, 750, 652

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 456, 632, 750, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 632, 750, 652 is 2.

Therefore, GCD of numbers 456, 632, 750, 652 is 2

Given Input Data is 456, 632, 750, 652

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 652 is 2 x 2 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(456, 632) = 36024

GCD(456, 632) = ( 456 x 632 ) / 36024

GCD(456, 632) = 288192 / 36024

GCD(456, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 750

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

LCM(8, 750) = 3000

GCD(8, 750) = ( 8 x 750 ) / 3000

GCD(8, 750) = 6000 / 3000

GCD(8, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 456, 632, 750, 652 is 2

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1. What is the GCD of 456, 632, 750, 652?

GCD of 456, 632, 750, 652 is 2

2. Where do I get the detailed procedure to find GCD of 456, 632, 750, 652?

You can find a detailed procedure to find GCD of 456, 632, 750, 652 on our page.

3. How to find GCD of 456, 632, 750, 652 on a calculator?

You can find the GCD of 456, 632, 750, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.