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 142, 757, 25, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 757, 25, 598 is 1
GCD(142, 757, 25, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 757, 25, 598 is 1
GCD(142, 757, 25, 598) = 1
Given Input numbers are 142, 757, 25, 598
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 142, 757, 25, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 757, 25, 598 is 1.
Therefore, GCD of numbers 142, 757, 25, 598 is 1
Given Input Data is 142, 757, 25, 598
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 757 is 757
Prime Factorization of 25 is 5 x 5
Prime Factorization of 598 is 2 x 13 x 23
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(142, 757) = 107494
GCD(142, 757) = ( 142 x 757 ) / 107494
GCD(142, 757) = 107494 / 107494
GCD(142, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
GCD of 142, 757, 25, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 757, 25, 598?
GCD of 142, 757, 25, 598 is 1
2. Where do I get the detailed procedure to find GCD of 142, 757, 25, 598?
You can find a detailed procedure to find GCD of 142, 757, 25, 598 on our page.
3. How to find GCD of 142, 757, 25, 598 on a calculator?
You can find the GCD of 142, 757, 25, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.