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 524, 788, 98, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 788, 98, 957 is 1
GCD(524, 788, 98, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 788, 98, 957 is 1
GCD(524, 788, 98, 957) = 1
Given Input numbers are 524, 788, 98, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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 524, 788, 98, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 788, 98, 957 is 1.
Therefore, GCD of numbers 524, 788, 98, 957 is 1
Given Input Data is 524, 788, 98, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 98 is 2 x 7 x 7
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(524, 788) = 103228
GCD(524, 788) = ( 524 x 788 ) / 103228
GCD(524, 788) = 412912 / 103228
GCD(524, 788) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 98) = 196
GCD(4, 98) = ( 4 x 98 ) / 196
GCD(4, 98) = 392 / 196
GCD(4, 98) = 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 524, 788, 98, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 788, 98, 957?
GCD of 524, 788, 98, 957 is 1
2. Where do I get the detailed procedure to find GCD of 524, 788, 98, 957?
You can find a detailed procedure to find GCD of 524, 788, 98, 957 on our page.
3. How to find GCD of 524, 788, 98, 957 on a calculator?
You can find the GCD of 524, 788, 98, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.