GCD of 742, 360, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 360, 138 quickly. Get the easiest ways to solve the greatest common divisor of 742, 360, 138 i.e 2 in different methods as follows.
Given Input numbers are 742, 360, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (742, 360, 138) = 2.
Given numbers are 742, 360, 138
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 742, 360, 138 is 2.
Steps to Calculate GCD of 742, 360, 138 using LCM Formula
Given numbers are 742, 360, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 360) = 133560
GCD(742, 360) = ( 742 x 360 ) / 133560
= 742 / 360
= 742
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 742, 360, 138 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 360, 138
Given numbers are 742, 360, 138
The greatest common divisor of numbers 742, 360, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 360, 138 is 2.
FAQs on GCD of 742, 360, 138 Calculator
1. What is the GCD of 742, 360, 138?
GCD of given numbers 742, 360, 138 is 2
2. How to calculate the greatest common divisor of 742, 360, 138?
We can find the highest common divisor of 742, 360, 138 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 742, 360, 138 i.e 2.
3. How can I use the GCD of 742, 360, 138Calculator?
Out the numbers 742, 360, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.