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 980, 700, 531, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 700, 531, 396 is 1
GCD(980, 700, 531, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 700, 531, 396 is 1
GCD(980, 700, 531, 396) = 1
Given Input numbers are 980, 700, 531, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 980, 700, 531, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 700, 531, 396 is 1.
Therefore, GCD of numbers 980, 700, 531, 396 is 1
Given Input Data is 980, 700, 531, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(980, 700) = 4900
GCD(980, 700) = ( 980 x 700 ) / 4900
GCD(980, 700) = 686000 / 4900
GCD(980, 700) = 140
Step2:
Here we consider the GCD from the above i.e. 140 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(140, 531) = 74340
GCD(140, 531) = ( 140 x 531 ) / 74340
GCD(140, 531) = 74340 / 74340
GCD(140, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 980, 700, 531, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 700, 531, 396?
GCD of 980, 700, 531, 396 is 1
2. Where do I get the detailed procedure to find GCD of 980, 700, 531, 396?
You can find a detailed procedure to find GCD of 980, 700, 531, 396 on our page.
3. How to find GCD of 980, 700, 531, 396 on a calculator?
You can find the GCD of 980, 700, 531, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.