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 700, 379, 956, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 379, 956, 777 is 1
GCD(700, 379, 956, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 379, 956, 777 is 1
GCD(700, 379, 956, 777) = 1
Given Input numbers are 700, 379, 956, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 700, 379, 956, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 379, 956, 777 is 1.
Therefore, GCD of numbers 700, 379, 956, 777 is 1
Given Input Data is 700, 379, 956, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 379 is 379
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 777 is 3 x 7 x 37
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(700, 379) = 265300
GCD(700, 379) = ( 700 x 379 ) / 265300
GCD(700, 379) = 265300 / 265300
GCD(700, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 700, 379, 956, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 379, 956, 777?
GCD of 700, 379, 956, 777 is 1
2. Where do I get the detailed procedure to find GCD of 700, 379, 956, 777?
You can find a detailed procedure to find GCD of 700, 379, 956, 777 on our page.
3. How to find GCD of 700, 379, 956, 777 on a calculator?
You can find the GCD of 700, 379, 956, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.