GCD of 952, 766, 938, 318 Calculator

Given Input numbers are 952, 766, 938, 318

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 952, 766, 938, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 766, 938, 318 is 2.

Therefore, GCD of numbers 952, 766, 938, 318 is 2

Given Input Data is 952, 766, 938, 318

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 766 is 2 x 383

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 318 is 2 x 3 x 53

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(952, 766) = 364616

GCD(952, 766) = ( 952 x 766 ) / 364616

GCD(952, 766) = 729232 / 364616

GCD(952, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 952, 766, 938, 318 is 2

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1. What is the GCD of 952, 766, 938, 318?

GCD of 952, 766, 938, 318 is 2

2. Where do I get the detailed procedure to find GCD of 952, 766, 938, 318?

You can find a detailed procedure to find GCD of 952, 766, 938, 318 on our page.

3. How to find GCD of 952, 766, 938, 318 on a calculator?

You can find the GCD of 952, 766, 938, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.