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 970, 554, 713, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 554, 713, 110 is 1
GCD(970, 554, 713, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 554, 713, 110 is 1
GCD(970, 554, 713, 110) = 1
Given Input numbers are 970, 554, 713, 110
To find the GCD of numbers using factoring list out all the divisors of each number
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 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 970, 554, 713, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 554, 713, 110 is 1.
Therefore, GCD of numbers 970, 554, 713, 110 is 1
Given Input Data is 970, 554, 713, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 554 is 2 x 277
Prime Factorization of 713 is 23 x 31
Prime Factorization of 110 is 2 x 5 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(970, 554) = 268690
GCD(970, 554) = ( 970 x 554 ) / 268690
GCD(970, 554) = 537380 / 268690
GCD(970, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 970, 554, 713, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 554, 713, 110?
GCD of 970, 554, 713, 110 is 1
2. Where do I get the detailed procedure to find GCD of 970, 554, 713, 110?
You can find a detailed procedure to find GCD of 970, 554, 713, 110 on our page.
3. How to find GCD of 970, 554, 713, 110 on a calculator?
You can find the GCD of 970, 554, 713, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.