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, 336, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 336, 715 is 1
GCD(980, 336, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 336, 715 is 1
GCD(980, 336, 715) = 1
Given Input numbers are 980, 336, 715
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 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 980, 336, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 336, 715 is 1.
Therefore, GCD of numbers 980, 336, 715 is 1
Given Input Data is 980, 336, 715
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 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 715 is 5 x 11 x 13
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, 336) = 11760
GCD(980, 336) = ( 980 x 336 ) / 11760
GCD(980, 336) = 329280 / 11760
GCD(980, 336) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 715) = 20020
GCD(28, 715) = ( 28 x 715 ) / 20020
GCD(28, 715) = 20020 / 20020
GCD(28, 715) = 1
GCD of 980, 336, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 336, 715?
GCD of 980, 336, 715 is 1
2. Where do I get the detailed procedure to find GCD of 980, 336, 715?
You can find a detailed procedure to find GCD of 980, 336, 715 on our page.
3. How to find GCD of 980, 336, 715 on a calculator?
You can find the GCD of 980, 336, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.