GCD of 356, 678, 34, 952 Calculator

Given Input numbers are 356, 678, 34, 952

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 356, 678, 34, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 678, 34, 952 is 2.

Therefore, GCD of numbers 356, 678, 34, 952 is 2

Given Input Data is 356, 678, 34, 952

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 34 is 2 x 17

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

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(356, 678) = 120684

GCD(356, 678) = ( 356 x 678 ) / 120684

GCD(356, 678) = 241368 / 120684

GCD(356, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 356, 678, 34, 952 is 2

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1. What is the GCD of 356, 678, 34, 952?

GCD of 356, 678, 34, 952 is 2

2. Where do I get the detailed procedure to find GCD of 356, 678, 34, 952?

You can find a detailed procedure to find GCD of 356, 678, 34, 952 on our page.

3. How to find GCD of 356, 678, 34, 952 on a calculator?

You can find the GCD of 356, 678, 34, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.