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 978, 127, 64, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 127, 64, 987 is 1
GCD(978, 127, 64, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 127, 64, 987 is 1
GCD(978, 127, 64, 987) = 1
Given Input numbers are 978, 127, 64, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
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 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 978, 127, 64, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 127, 64, 987 is 1.
Therefore, GCD of numbers 978, 127, 64, 987 is 1
Given Input Data is 978, 127, 64, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 127 is 127
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 987 is 3 x 7 x 47
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(978, 127) = 124206
GCD(978, 127) = ( 978 x 127 ) / 124206
GCD(978, 127) = 124206 / 124206
GCD(978, 127) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 978, 127, 64, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 127, 64, 987?
GCD of 978, 127, 64, 987 is 1
2. Where do I get the detailed procedure to find GCD of 978, 127, 64, 987?
You can find a detailed procedure to find GCD of 978, 127, 64, 987 on our page.
3. How to find GCD of 978, 127, 64, 987 on a calculator?
You can find the GCD of 978, 127, 64, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.