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 97, 776, 507, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 776, 507, 932 is 1
GCD(97, 776, 507, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 776, 507, 932 is 1
GCD(97, 776, 507, 932) = 1
Given Input numbers are 97, 776, 507, 932
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 97, 776, 507, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 776, 507, 932 is 1.
Therefore, GCD of numbers 97, 776, 507, 932 is 1
Given Input Data is 97, 776, 507, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 932 is 2 x 2 x 233
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(97, 776) = 776
GCD(97, 776) = ( 97 x 776 ) / 776
GCD(97, 776) = 75272 / 776
GCD(97, 776) = 97
Step2:
Here we consider the GCD from the above i.e. 97 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(97, 507) = 49179
GCD(97, 507) = ( 97 x 507 ) / 49179
GCD(97, 507) = 49179 / 49179
GCD(97, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 97, 776, 507, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 776, 507, 932?
GCD of 97, 776, 507, 932 is 1
2. Where do I get the detailed procedure to find GCD of 97, 776, 507, 932?
You can find a detailed procedure to find GCD of 97, 776, 507, 932 on our page.
3. How to find GCD of 97, 776, 507, 932 on a calculator?
You can find the GCD of 97, 776, 507, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.