GCD of 252, 410, 142, 790 Calculator

Given Input numbers are 252, 410, 142, 790

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

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 252, 410, 142, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 410, 142, 790 is 2.

Therefore, GCD of numbers 252, 410, 142, 790 is 2

Given Input Data is 252, 410, 142, 790

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

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 142 is 2 x 71

Prime Factorization of 790 is 2 x 5 x 79

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(252, 410) = 51660

GCD(252, 410) = ( 252 x 410 ) / 51660

GCD(252, 410) = 103320 / 51660

GCD(252, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 252, 410, 142, 790 is 2

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1. What is the GCD of 252, 410, 142, 790?

GCD of 252, 410, 142, 790 is 2

2. Where do I get the detailed procedure to find GCD of 252, 410, 142, 790?

You can find a detailed procedure to find GCD of 252, 410, 142, 790 on our page.

3. How to find GCD of 252, 410, 142, 790 on a calculator?

You can find the GCD of 252, 410, 142, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.