GCD of 952, 916, 65, 691 Calculator

Given Input numbers are 952, 916, 65, 691

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 952, 916, 65, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 916, 65, 691 is 1.

Therefore, GCD of numbers 952, 916, 65, 691 is 1

Given Input Data is 952, 916, 65, 691

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 916 is 2 x 2 x 229

Prime Factorization of 65 is 5 x 13

Prime Factorization of 691 is 691

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(952, 916) = 218008

GCD(952, 916) = ( 952 x 916 ) / 218008

GCD(952, 916) = 872032 / 218008

GCD(952, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 952, 916, 65, 691 is 1

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1. What is the GCD of 952, 916, 65, 691?

GCD of 952, 916, 65, 691 is 1

2. Where do I get the detailed procedure to find GCD of 952, 916, 65, 691?

You can find a detailed procedure to find GCD of 952, 916, 65, 691 on our page.

3. How to find GCD of 952, 916, 65, 691 on a calculator?

You can find the GCD of 952, 916, 65, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.