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 708, 931, 30, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 931, 30, 661 is 1
GCD(708, 931, 30, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 931, 30, 661 is 1
GCD(708, 931, 30, 661) = 1
Given Input numbers are 708, 931, 30, 661
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 708, 931, 30, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 931, 30, 661 is 1.
Therefore, GCD of numbers 708, 931, 30, 661 is 1
Given Input Data is 708, 931, 30, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 661 is 661
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(708, 931) = 659148
GCD(708, 931) = ( 708 x 931 ) / 659148
GCD(708, 931) = 659148 / 659148
GCD(708, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
GCD of 708, 931, 30, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 931, 30, 661?
GCD of 708, 931, 30, 661 is 1
2. Where do I get the detailed procedure to find GCD of 708, 931, 30, 661?
You can find a detailed procedure to find GCD of 708, 931, 30, 661 on our page.
3. How to find GCD of 708, 931, 30, 661 on a calculator?
You can find the GCD of 708, 931, 30, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.