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 957, 177, 550, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 177, 550, 714 is 1
GCD(957, 177, 550, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 177, 550, 714 is 1
GCD(957, 177, 550, 714) = 1
Given Input numbers are 957, 177, 550, 714
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 957, 177, 550, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 177, 550, 714 is 1.
Therefore, GCD of numbers 957, 177, 550, 714 is 1
Given Input Data is 957, 177, 550, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 177 is 3 x 59
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 714 is 2 x 3 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(957, 177) = 56463
GCD(957, 177) = ( 957 x 177 ) / 56463
GCD(957, 177) = 169389 / 56463
GCD(957, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 550) = 1650
GCD(3, 550) = ( 3 x 550 ) / 1650
GCD(3, 550) = 1650 / 1650
GCD(3, 550) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 957, 177, 550, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 177, 550, 714?
GCD of 957, 177, 550, 714 is 1
2. Where do I get the detailed procedure to find GCD of 957, 177, 550, 714?
You can find a detailed procedure to find GCD of 957, 177, 550, 714 on our page.
3. How to find GCD of 957, 177, 550, 714 on a calculator?
You can find the GCD of 957, 177, 550, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.