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 874, 592, 55, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 592, 55, 142 is 1
GCD(874, 592, 55, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 592, 55, 142 is 1
GCD(874, 592, 55, 142) = 1
Given Input numbers are 874, 592, 55, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 874, 592, 55, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 592, 55, 142 is 1.
Therefore, GCD of numbers 874, 592, 55, 142 is 1
Given Input Data is 874, 592, 55, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 55 is 5 x 11
Prime Factorization of 142 is 2 x 71
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(874, 592) = 258704
GCD(874, 592) = ( 874 x 592 ) / 258704
GCD(874, 592) = 517408 / 258704
GCD(874, 592) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 874, 592, 55, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 592, 55, 142?
GCD of 874, 592, 55, 142 is 1
2. Where do I get the detailed procedure to find GCD of 874, 592, 55, 142?
You can find a detailed procedure to find GCD of 874, 592, 55, 142 on our page.
3. How to find GCD of 874, 592, 55, 142 on a calculator?
You can find the GCD of 874, 592, 55, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.