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, 429, 143, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 429, 143, 674 is 1
GCD(710, 429, 143, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 429, 143, 674 is 1
GCD(710, 429, 143, 674) = 1
Given Input numbers are 710, 429, 143, 674
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 710, 429, 143, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 429, 143, 674 is 1.
Therefore, GCD of numbers 710, 429, 143, 674 is 1
Given Input Data is 710, 429, 143, 674
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 429 is 3 x 11 x 13
Prime Factorization of 143 is 11 x 13
Prime Factorization of 674 is 2 x 337
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, 429) = 304590
GCD(710, 429) = ( 710 x 429 ) / 304590
GCD(710, 429) = 304590 / 304590
GCD(710, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 710, 429, 143, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 429, 143, 674?
GCD of 710, 429, 143, 674 is 1
2. Where do I get the detailed procedure to find GCD of 710, 429, 143, 674?
You can find a detailed procedure to find GCD of 710, 429, 143, 674 on our page.
3. How to find GCD of 710, 429, 143, 674 on a calculator?
You can find the GCD of 710, 429, 143, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.