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 428, 658, 763, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 658, 763, 125 is 1
GCD(428, 658, 763, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 658, 763, 125 is 1
GCD(428, 658, 763, 125) = 1
Given Input numbers are 428, 658, 763, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 428, 658, 763, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 658, 763, 125 is 1.
Therefore, GCD of numbers 428, 658, 763, 125 is 1
Given Input Data is 428, 658, 763, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 763 is 7 x 109
Prime Factorization of 125 is 5 x 5 x 5
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(428, 658) = 140812
GCD(428, 658) = ( 428 x 658 ) / 140812
GCD(428, 658) = 281624 / 140812
GCD(428, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
GCD(2, 763) = 1526 / 1526
GCD(2, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 428, 658, 763, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 658, 763, 125?
GCD of 428, 658, 763, 125 is 1
2. Where do I get the detailed procedure to find GCD of 428, 658, 763, 125?
You can find a detailed procedure to find GCD of 428, 658, 763, 125 on our page.
3. How to find GCD of 428, 658, 763, 125 on a calculator?
You can find the GCD of 428, 658, 763, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.