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 63, 758, 970, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 758, 970, 498 is 1
GCD(63, 758, 970, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 758, 970, 498 is 1
GCD(63, 758, 970, 498) = 1
Given Input numbers are 63, 758, 970, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 63, 758, 970, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 758, 970, 498 is 1.
Therefore, GCD of numbers 63, 758, 970, 498 is 1
Given Input Data is 63, 758, 970, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 758 is 2 x 379
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 498 is 2 x 3 x 83
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(63, 758) = 47754
GCD(63, 758) = ( 63 x 758 ) / 47754
GCD(63, 758) = 47754 / 47754
GCD(63, 758) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 63, 758, 970, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 758, 970, 498?
GCD of 63, 758, 970, 498 is 1
2. Where do I get the detailed procedure to find GCD of 63, 758, 970, 498?
You can find a detailed procedure to find GCD of 63, 758, 970, 498 on our page.
3. How to find GCD of 63, 758, 970, 498 on a calculator?
You can find the GCD of 63, 758, 970, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.