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 710, 552, 639, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 552, 639, 123 is 1
GCD(710, 552, 639, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 552, 639, 123 is 1
GCD(710, 552, 639, 123) = 1
Given Input numbers are 710, 552, 639, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 710, 552, 639, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 552, 639, 123 is 1.
Therefore, GCD of numbers 710, 552, 639, 123 is 1
Given Input Data is 710, 552, 639, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 123 is 3 x 41
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(710, 552) = 195960
GCD(710, 552) = ( 710 x 552 ) / 195960
GCD(710, 552) = 391920 / 195960
GCD(710, 552) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 639
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 639) = 1278
GCD(2, 639) = ( 2 x 639 ) / 1278
GCD(2, 639) = 1278 / 1278
GCD(2, 639) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 710, 552, 639, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 552, 639, 123?
GCD of 710, 552, 639, 123 is 1
2. Where do I get the detailed procedure to find GCD of 710, 552, 639, 123?
You can find a detailed procedure to find GCD of 710, 552, 639, 123 on our page.
3. How to find GCD of 710, 552, 639, 123 on a calculator?
You can find the GCD of 710, 552, 639, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.