GCD of 956, 378, 68, 862 Calculator

Given Input numbers are 956, 378, 68, 862

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 956, 378, 68, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 378, 68, 862 is 2.

Therefore, GCD of numbers 956, 378, 68, 862 is 2

Given Input Data is 956, 378, 68, 862

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 862 is 2 x 431

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, 378) = 180684

GCD(956, 378) = ( 956 x 378 ) / 180684

GCD(956, 378) = 361368 / 180684

GCD(956, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

GCD of 956, 378, 68, 862 is 2

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1. What is the GCD of 956, 378, 68, 862?

GCD of 956, 378, 68, 862 is 2

2. Where do I get the detailed procedure to find GCD of 956, 378, 68, 862?

You can find a detailed procedure to find GCD of 956, 378, 68, 862 on our page.

3. How to find GCD of 956, 378, 68, 862 on a calculator?

You can find the GCD of 956, 378, 68, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.