GCD of 628, 710, 88, 252 Calculator

Given Input numbers are 628, 710, 88, 252

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 628, 710, 88, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 710, 88, 252 is 2.

Therefore, GCD of numbers 628, 710, 88, 252 is 2

Given Input Data is 628, 710, 88, 252

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(628, 710) = 222940

GCD(628, 710) = ( 628 x 710 ) / 222940

GCD(628, 710) = 445880 / 222940

GCD(628, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

GCD of 628, 710, 88, 252 is 2

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1. What is the GCD of 628, 710, 88, 252?

GCD of 628, 710, 88, 252 is 2

2. Where do I get the detailed procedure to find GCD of 628, 710, 88, 252?

You can find a detailed procedure to find GCD of 628, 710, 88, 252 on our page.

3. How to find GCD of 628, 710, 88, 252 on a calculator?

You can find the GCD of 628, 710, 88, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.