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 77, 401, 959, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 401, 959, 220 is 1
GCD(77, 401, 959, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 401, 959, 220 is 1
GCD(77, 401, 959, 220) = 1
Given Input numbers are 77, 401, 959, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 77, 401, 959, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 401, 959, 220 is 1.
Therefore, GCD of numbers 77, 401, 959, 220 is 1
Given Input Data is 77, 401, 959, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 401 is 401
Prime Factorization of 959 is 7 x 137
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(77, 401) = 30877
GCD(77, 401) = ( 77 x 401 ) / 30877
GCD(77, 401) = 30877 / 30877
GCD(77, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 77, 401, 959, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 401, 959, 220?
GCD of 77, 401, 959, 220 is 1
2. Where do I get the detailed procedure to find GCD of 77, 401, 959, 220?
You can find a detailed procedure to find GCD of 77, 401, 959, 220 on our page.
3. How to find GCD of 77, 401, 959, 220 on a calculator?
You can find the GCD of 77, 401, 959, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.