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 numbers 480, 707, 936, 952 is 1
GCD(480, 707, 936, 952) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.