GCD of 956, 840, 718, 258 Calculator

Given Input numbers are 956, 840, 718, 258

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 956, 840, 718, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 840, 718, 258 is 2.

Therefore, GCD of numbers 956, 840, 718, 258 is 2

Given Input Data is 956, 840, 718, 258

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 718 is 2 x 359

Prime Factorization of 258 is 2 x 3 x 43

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(956, 840) = 200760

GCD(956, 840) = ( 956 x 840 ) / 200760

GCD(956, 840) = 803040 / 200760

GCD(956, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 718

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

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

GCD(4, 718) = 2872 / 1436

GCD(4, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 956, 840, 718, 258 is 2

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1. What is the GCD of 956, 840, 718, 258?

GCD of 956, 840, 718, 258 is 2

2. Where do I get the detailed procedure to find GCD of 956, 840, 718, 258?

You can find a detailed procedure to find GCD of 956, 840, 718, 258 on our page.

3. How to find GCD of 956, 840, 718, 258 on a calculator?

You can find the GCD of 956, 840, 718, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.