GCD of 238, 874, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 238, 874, 72 quickly. Get the easiest ways to solve the greatest common divisor of 238, 874, 72 i.e 2 in different methods as follows.
Given Input numbers are 238, 874, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (238, 874, 72) = 2.
Given numbers are 238, 874, 72
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 874 are 2 x 19 x 23
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 238, 874, 72 is 2.
Steps to Calculate GCD of 238, 874, 72 using LCM Formula
Given numbers are 238, 874, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 874) = 104006
GCD(238, 874) = ( 238 x 874 ) / 104006
= 238 / 874
= 238
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
So, Greatest Common Divisor of 238, 874, 72 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 238, 874, 72
Given numbers are 238, 874, 72
The greatest common divisor of numbers 238, 874, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 874, 72 is 2.
FAQs on GCD of 238, 874, 72 Calculator
1. What is the GCD of 238, 874, 72?
GCD of given numbers 238, 874, 72 is 2
2. How to calculate the greatest common divisor of 238, 874, 72?
We can find the highest common divisor of 238, 874, 72 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 238, 874, 72 i.e 2.
3. How can I use the GCD of 238, 874, 72Calculator?
Out the numbers 238, 874, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.