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 975, 980, 64, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 980, 64, 196 is 1
GCD(975, 980, 64, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 980, 64, 196 is 1
GCD(975, 980, 64, 196) = 1
Given Input numbers are 975, 980, 64, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 975, 980, 64, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 980, 64, 196 is 1.
Therefore, GCD of numbers 975, 980, 64, 196 is 1
Given Input Data is 975, 980, 64, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 196 is 2 x 2 x 7 x 7
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(975, 980) = 191100
GCD(975, 980) = ( 975 x 980 ) / 191100
GCD(975, 980) = 955500 / 191100
GCD(975, 980) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 64) = 320
GCD(5, 64) = ( 5 x 64 ) / 320
GCD(5, 64) = 320 / 320
GCD(5, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 975, 980, 64, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 980, 64, 196?
GCD of 975, 980, 64, 196 is 1
2. Where do I get the detailed procedure to find GCD of 975, 980, 64, 196?
You can find a detailed procedure to find GCD of 975, 980, 64, 196 on our page.
3. How to find GCD of 975, 980, 64, 196 on a calculator?
You can find the GCD of 975, 980, 64, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.