GCD of 954, 738, 156 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 954, 738, 156 quickly. Get the easiest ways to solve the greatest common divisor of 954, 738, 156 i.e 6 in different methods as follows.
Given Input numbers are 954, 738, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (954, 738, 156) = 6.
Given numbers are 954, 738, 156
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 954, 738, 156 is 6.
Steps to Calculate GCD of 954, 738, 156 using LCM Formula
Given numbers are 954, 738, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 738) = 39114
GCD(954, 738) = ( 954 x 738 ) / 39114
= 954 / 738
= 954
Step2:
LCM(18, 156) = 468
GCD(18, 156) = ( 18 x 156 ) / 468
= 18 / 156
= 18
So, Greatest Common Divisor of 954, 738, 156 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 954, 738, 156
Given numbers are 954, 738, 156
The greatest common divisor of numbers 954, 738, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 738, 156 is 6.
FAQs on GCD of 954, 738, 156 Calculator
1. What is the GCD of 954, 738, 156?
GCD of given numbers 954, 738, 156 is 6
2. How to calculate the greatest common divisor of 954, 738, 156?
We can find the highest common divisor of 954, 738, 156 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 954, 738, 156 i.e 6.
3. How can I use the GCD of 954, 738, 156Calculator?
Out the numbers 954, 738, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.