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 80, 738, 977, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 738, 977, 660 is 1
GCD(80, 738, 977, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 738, 977, 660 is 1
GCD(80, 738, 977, 660) = 1
Given Input numbers are 80, 738, 977, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 80, 738, 977, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 738, 977, 660 is 1.
Therefore, GCD of numbers 80, 738, 977, 660 is 1
Given Input Data is 80, 738, 977, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 977 is 977
Prime Factorization of 660 is 2 x 2 x 3 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(80, 738) = 29520
GCD(80, 738) = ( 80 x 738 ) / 29520
GCD(80, 738) = 59040 / 29520
GCD(80, 738) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
GCD(2, 977) = 1954 / 1954
GCD(2, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 80, 738, 977, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 738, 977, 660?
GCD of 80, 738, 977, 660 is 1
2. Where do I get the detailed procedure to find GCD of 80, 738, 977, 660?
You can find a detailed procedure to find GCD of 80, 738, 977, 660 on our page.
3. How to find GCD of 80, 738, 977, 660 on a calculator?
You can find the GCD of 80, 738, 977, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.