GCD of 358, 156, 72, 260 Calculator

Given Input numbers are 358, 156, 72, 260

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 358, 156, 72, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 156, 72, 260 is 2.

Therefore, GCD of numbers 358, 156, 72, 260 is 2

Given Input Data is 358, 156, 72, 260

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(358, 156) = 27924

GCD(358, 156) = ( 358 x 156 ) / 27924

GCD(358, 156) = 55848 / 27924

GCD(358, 156) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 358, 156, 72, 260 is 2

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• GCD of 662, 509, 16, 544
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• GCD of 810, 108, 22, 463

1. What is the GCD of 358, 156, 72, 260?

GCD of 358, 156, 72, 260 is 2

2. Where do I get the detailed procedure to find GCD of 358, 156, 72, 260?

You can find a detailed procedure to find GCD of 358, 156, 72, 260 on our page.

3. How to find GCD of 358, 156, 72, 260 on a calculator?

You can find the GCD of 358, 156, 72, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.