GCD of 742, 189, 147 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 189, 147 quickly. Get the easiest ways to solve the greatest common divisor of 742, 189, 147 i.e 7 in different methods as follows.
Given Input numbers are 742, 189, 147
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (742, 189, 147) = 7.
Given numbers are 742, 189, 147
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 742, 189, 147 is 7.
Steps to Calculate GCD of 742, 189, 147 using LCM Formula
Given numbers are 742, 189, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 189) = 20034
GCD(742, 189) = ( 742 x 189 ) / 20034
= 742 / 189
= 742
Step2:
LCM(7, 147) = 147
GCD(7, 147) = ( 7 x 147 ) / 147
= 7 / 147
= 7
So, Greatest Common Divisor of 742, 189, 147 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 189, 147
Given numbers are 742, 189, 147
The greatest common divisor of numbers 742, 189, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 189, 147 is 7.
FAQs on GCD of 742, 189, 147 Calculator
1. What is the GCD of 742, 189, 147?
GCD of given numbers 742, 189, 147 is 7
2. How to calculate the greatest common divisor of 742, 189, 147?
We can find the highest common divisor of 742, 189, 147 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, 189, 147 i.e 7.
3. How can I use the GCD of 742, 189, 147Calculator?
Out the numbers 742, 189, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.