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 707, 678, 996, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 678, 996, 961 is 1
GCD(707, 678, 996, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 678, 996, 961 is 1
GCD(707, 678, 996, 961) = 1
Given Input numbers are 707, 678, 996, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 707, 678, 996, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 678, 996, 961 is 1.
Therefore, GCD of numbers 707, 678, 996, 961 is 1
Given Input Data is 707, 678, 996, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 961 is 31 x 31
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(707, 678) = 479346
GCD(707, 678) = ( 707 x 678 ) / 479346
GCD(707, 678) = 479346 / 479346
GCD(707, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 707, 678, 996, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 678, 996, 961?
GCD of 707, 678, 996, 961 is 1
2. Where do I get the detailed procedure to find GCD of 707, 678, 996, 961?
You can find a detailed procedure to find GCD of 707, 678, 996, 961 on our page.
3. How to find GCD of 707, 678, 996, 961 on a calculator?
You can find the GCD of 707, 678, 996, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.