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 980, 642, 654, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 642, 654, 877 is 1
GCD(980, 642, 654, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 642, 654, 877 is 1
GCD(980, 642, 654, 877) = 1
Given Input numbers are 980, 642, 654, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 980, 642, 654, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 642, 654, 877 is 1.
Therefore, GCD of numbers 980, 642, 654, 877 is 1
Given Input Data is 980, 642, 654, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 877 is 877
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(980, 642) = 314580
GCD(980, 642) = ( 980 x 642 ) / 314580
GCD(980, 642) = 629160 / 314580
GCD(980, 642) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 654) = 654
GCD(2, 654) = ( 2 x 654 ) / 654
GCD(2, 654) = 1308 / 654
GCD(2, 654) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 877) = 1754
GCD(2, 877) = ( 2 x 877 ) / 1754
GCD(2, 877) = 1754 / 1754
GCD(2, 877) = 1
GCD of 980, 642, 654, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 642, 654, 877?
GCD of 980, 642, 654, 877 is 1
2. Where do I get the detailed procedure to find GCD of 980, 642, 654, 877?
You can find a detailed procedure to find GCD of 980, 642, 654, 877 on our page.
3. How to find GCD of 980, 642, 654, 877 on a calculator?
You can find the GCD of 980, 642, 654, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.