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 628, 876, 259, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 876, 259, 134 is 1
GCD(628, 876, 259, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 876, 259, 134 is 1
GCD(628, 876, 259, 134) = 1
Given Input numbers are 628, 876, 259, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 628, 876, 259, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 876, 259, 134 is 1.
Therefore, GCD of numbers 628, 876, 259, 134 is 1
Given Input Data is 628, 876, 259, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 259 is 7 x 37
Prime Factorization of 134 is 2 x 67
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(628, 876) = 137532
GCD(628, 876) = ( 628 x 876 ) / 137532
GCD(628, 876) = 550128 / 137532
GCD(628, 876) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 259) = 1036
GCD(4, 259) = ( 4 x 259 ) / 1036
GCD(4, 259) = 1036 / 1036
GCD(4, 259) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 628, 876, 259, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 876, 259, 134?
GCD of 628, 876, 259, 134 is 1
2. Where do I get the detailed procedure to find GCD of 628, 876, 259, 134?
You can find a detailed procedure to find GCD of 628, 876, 259, 134 on our page.
3. How to find GCD of 628, 876, 259, 134 on a calculator?
You can find the GCD of 628, 876, 259, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.