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 60, 262, 203, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 262, 203, 972 is 1
GCD(60, 262, 203, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 262, 203, 972 is 1
GCD(60, 262, 203, 972) = 1
Given Input numbers are 60, 262, 203, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
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
Greatest Common Divisior
We found the divisors of 60, 262, 203, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 262, 203, 972 is 1.
Therefore, GCD of numbers 60, 262, 203, 972 is 1
Given Input Data is 60, 262, 203, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 262 is 2 x 131
Prime Factorization of 203 is 7 x 29
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(60, 262) = 7860
GCD(60, 262) = ( 60 x 262 ) / 7860
GCD(60, 262) = 15720 / 7860
GCD(60, 262) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 203) = 406
GCD(2, 203) = ( 2 x 203 ) / 406
GCD(2, 203) = 406 / 406
GCD(2, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 60, 262, 203, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 262, 203, 972?
GCD of 60, 262, 203, 972 is 1
2. Where do I get the detailed procedure to find GCD of 60, 262, 203, 972?
You can find a detailed procedure to find GCD of 60, 262, 203, 972 on our page.
3. How to find GCD of 60, 262, 203, 972 on a calculator?
You can find the GCD of 60, 262, 203, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.