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 969, 778, 657, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 778, 657, 952 is 1
GCD(969, 778, 657, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 778, 657, 952 is 1
GCD(969, 778, 657, 952) = 1
Given Input numbers are 969, 778, 657, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 969, 778, 657, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 778, 657, 952 is 1.
Therefore, GCD of numbers 969, 778, 657, 952 is 1
Given Input Data is 969, 778, 657, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 778 is 2 x 389
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(969, 778) = 753882
GCD(969, 778) = ( 969 x 778 ) / 753882
GCD(969, 778) = 753882 / 753882
GCD(969, 778) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 969, 778, 657, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 778, 657, 952?
GCD of 969, 778, 657, 952 is 1
2. Where do I get the detailed procedure to find GCD of 969, 778, 657, 952?
You can find a detailed procedure to find GCD of 969, 778, 657, 952 on our page.
3. How to find GCD of 969, 778, 657, 952 on a calculator?
You can find the GCD of 969, 778, 657, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.