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 620, 972, 53, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 972, 53, 711 is 1
GCD(620, 972, 53, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 972, 53, 711 is 1
GCD(620, 972, 53, 711) = 1
Given Input numbers are 620, 972, 53, 711
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 620, 972, 53, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 972, 53, 711 is 1.
Therefore, GCD of numbers 620, 972, 53, 711 is 1
Given Input Data is 620, 972, 53, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 53 is 53
Prime Factorization of 711 is 3 x 3 x 79
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(620, 972) = 150660
GCD(620, 972) = ( 620 x 972 ) / 150660
GCD(620, 972) = 602640 / 150660
GCD(620, 972) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 620, 972, 53, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 972, 53, 711?
GCD of 620, 972, 53, 711 is 1
2. Where do I get the detailed procedure to find GCD of 620, 972, 53, 711?
You can find a detailed procedure to find GCD of 620, 972, 53, 711 on our page.
3. How to find GCD of 620, 972, 53, 711 on a calculator?
You can find the GCD of 620, 972, 53, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.