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 639, 710, 144, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 639, 710, 144, 357 is 1
GCD(639, 710, 144, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 639, 710, 144, 357 is 1
GCD(639, 710, 144, 357) = 1
Given Input numbers are 639, 710, 144, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
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 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 639, 710, 144, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 710, 144, 357 is 1.
Therefore, GCD of numbers 639, 710, 144, 357 is 1
Given Input Data is 639, 710, 144, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 357 is 3 x 7 x 17
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(639, 710) = 6390
GCD(639, 710) = ( 639 x 710 ) / 6390
GCD(639, 710) = 453690 / 6390
GCD(639, 710) = 71
Step2:
Here we consider the GCD from the above i.e. 71 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(71, 144) = 10224
GCD(71, 144) = ( 71 x 144 ) / 10224
GCD(71, 144) = 10224 / 10224
GCD(71, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 639, 710, 144, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 639, 710, 144, 357?
GCD of 639, 710, 144, 357 is 1
2. Where do I get the detailed procedure to find GCD of 639, 710, 144, 357?
You can find a detailed procedure to find GCD of 639, 710, 144, 357 on our page.
3. How to find GCD of 639, 710, 144, 357 on a calculator?
You can find the GCD of 639, 710, 144, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.