GCD of 480, 707, 936, 952 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 480, 707, 936, 952 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 707, 936, 952 is 1

GCD(480, 707, 936, 952) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 480, 707, 936, 952 is 1

GCD(480, 707, 936, 952) = 1

GCD of 480,707,936,952 Calculator

GCDof 480,707,936,952 is 1

Given Input numbers are 480, 707, 936, 952

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 480, 707, 936, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 707, 936, 952 is 1.

Therefore, GCD of numbers 480, 707, 936, 952 is 1

Finding GCD of 480, 707, 936, 952 using Prime Factorization

Given Input Data is 480, 707, 936, 952

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 707 is 7 x 101

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Finding GCD of 480, 707, 936, 952 using LCM Formula

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(480, 707) = 339360

GCD(480, 707) = ( 480 x 707 ) / 339360

GCD(480, 707) = 339360 / 339360

GCD(480, 707) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 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 480, 707, 936, 952 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 480, 707, 936, 952

1. What is the GCD of 480, 707, 936, 952?

GCD of 480, 707, 936, 952 is 1


2. Where do I get the detailed procedure to find GCD of 480, 707, 936, 952?

You can find a detailed procedure to find GCD of 480, 707, 936, 952 on our page.


3. How to find GCD of 480, 707, 936, 952 on a calculator?

You can find the GCD of 480, 707, 936, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.