GCD of 946, 312, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 946, 312, 72 quickly. Get the easiest ways to solve the greatest common divisor of 946, 312, 72 i.e 2 in different methods as follows.
Given Input numbers are 946, 312, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 (946, 312, 72) = 2.
Given numbers are 946, 312, 72
The list of prime factors of all numbers are
Prime factors of 946 are 2 x 11 x 43
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 946, 312, 72 is 2.
Steps to Calculate GCD of 946, 312, 72 using LCM Formula
Given numbers are 946, 312, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(946, 312) = 147576
GCD(946, 312) = ( 946 x 312 ) / 147576
= 946 / 312
= 946
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
So, Greatest Common Divisor of 946, 312, 72 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 946, 312, 72
Given numbers are 946, 312, 72
The greatest common divisor of numbers 946, 312, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 312, 72 is 2.
FAQs on GCD of 946, 312, 72 Calculator
1. What is the GCD of 946, 312, 72?
GCD of given numbers 946, 312, 72 is 2
2. How to calculate the greatest common divisor of 946, 312, 72?
We can find the highest common divisor of 946, 312, 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 946, 312, 72 i.e 2.
3. How can I use the GCD of 946, 312, 72Calculator?
Out the numbers 946, 312, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.