GCD of 960, 310, 83, 952 Calculator

Given Input numbers are 960, 310, 83, 952

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 960, 310, 83, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 310, 83, 952 is 1.

Therefore, GCD of numbers 960, 310, 83, 952 is 1

Given Input Data is 960, 310, 83, 952

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 83 is 83

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(960, 310) = 29760

GCD(960, 310) = ( 960 x 310 ) / 29760

GCD(960, 310) = 297600 / 29760

GCD(960, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 83

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

LCM(10, 83) = 830

GCD(10, 83) = ( 10 x 83 ) / 830

GCD(10, 83) = 830 / 830

GCD(10, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 960, 310, 83, 952 is 1

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1. What is the GCD of 960, 310, 83, 952?

GCD of 960, 310, 83, 952 is 1

2. Where do I get the detailed procedure to find GCD of 960, 310, 83, 952?

You can find a detailed procedure to find GCD of 960, 310, 83, 952 on our page.

3. How to find GCD of 960, 310, 83, 952 on a calculator?

You can find the GCD of 960, 310, 83, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.