GCD of 660, 678, 357, 952 Calculator

Given Input numbers are 660, 678, 357, 952

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 660, 678, 357, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 678, 357, 952 is 1.

Therefore, GCD of numbers 660, 678, 357, 952 is 1

Given Input Data is 660, 678, 357, 952

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 357 is 3 x 7 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

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(660, 678) = 74580

GCD(660, 678) = ( 660 x 678 ) / 74580

GCD(660, 678) = 447480 / 74580

GCD(660, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 357

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

LCM(6, 357) = 714

GCD(6, 357) = ( 6 x 357 ) / 714

GCD(6, 357) = 2142 / 714

GCD(6, 357) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 952

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

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

GCD(3, 952) = 2856 / 2856

GCD(3, 952) = 1

GCD of 660, 678, 357, 952 is 1

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1. What is the GCD of 660, 678, 357, 952?

GCD of 660, 678, 357, 952 is 1

2. Where do I get the detailed procedure to find GCD of 660, 678, 357, 952?

You can find a detailed procedure to find GCD of 660, 678, 357, 952 on our page.

3. How to find GCD of 660, 678, 357, 952 on a calculator?

You can find the GCD of 660, 678, 357, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.