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 68, 702, 272, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 702, 272, 957 is 1
GCD(68, 702, 272, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 702, 272, 957 is 1
GCD(68, 702, 272, 957) = 1
Given Input numbers are 68, 702, 272, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 68, 702, 272, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 702, 272, 957 is 1.
Therefore, GCD of numbers 68, 702, 272, 957 is 1
Given Input Data is 68, 702, 272, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 957 is 3 x 11 x 29
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(68, 702) = 23868
GCD(68, 702) = ( 68 x 702 ) / 23868
GCD(68, 702) = 47736 / 23868
GCD(68, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 957) = 1914
GCD(2, 957) = ( 2 x 957 ) / 1914
GCD(2, 957) = 1914 / 1914
GCD(2, 957) = 1
GCD of 68, 702, 272, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 702, 272, 957?
GCD of 68, 702, 272, 957 is 1
2. Where do I get the detailed procedure to find GCD of 68, 702, 272, 957?
You can find a detailed procedure to find GCD of 68, 702, 272, 957 on our page.
3. How to find GCD of 68, 702, 272, 957 on a calculator?
You can find the GCD of 68, 702, 272, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.