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 919, 977, 332, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 919, 977, 332, 360 is 1
GCD(919, 977, 332, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 919, 977, 332, 360 is 1
GCD(919, 977, 332, 360) = 1
Given Input numbers are 919, 977, 332, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 919, 977, 332, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 977, 332, 360 is 1.
Therefore, GCD of numbers 919, 977, 332, 360 is 1
Given Input Data is 919, 977, 332, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 919 is 919
Prime Factorization of 977 is 977
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(919, 977) = 897863
GCD(919, 977) = ( 919 x 977 ) / 897863
GCD(919, 977) = 897863 / 897863
GCD(919, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 919, 977, 332, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 919, 977, 332, 360?
GCD of 919, 977, 332, 360 is 1
2. Where do I get the detailed procedure to find GCD of 919, 977, 332, 360?
You can find a detailed procedure to find GCD of 919, 977, 332, 360 on our page.
3. How to find GCD of 919, 977, 332, 360 on a calculator?
You can find the GCD of 919, 977, 332, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.