GCD of 672, 972, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 672, 972, 900 quickly. Get the easiest ways to solve the greatest common divisor of 672, 972, 900 i.e 12 in different methods as follows.
Given Input numbers are 672, 972, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (672, 972, 900) = 12.
Given numbers are 672, 972, 900
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 672, 972, 900 is 12.
Steps to Calculate GCD of 672, 972, 900 using LCM Formula
Given numbers are 672, 972, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 972) = 54432
GCD(672, 972) = ( 672 x 972 ) / 54432
= 672 / 972
= 672
Step2:
LCM(12, 900) = 900
GCD(12, 900) = ( 12 x 900 ) / 900
= 12 / 900
= 12
So, Greatest Common Divisor of 672, 972, 900 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 672, 972, 900
Given numbers are 672, 972, 900
The greatest common divisor of numbers 672, 972, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 972, 900 is 12.
FAQs on GCD of 672, 972, 900 Calculator
1. What is the GCD of 672, 972, 900?
GCD of given numbers 672, 972, 900 is 12
2. How to calculate the greatest common divisor of 672, 972, 900?
We can find the highest common divisor of 672, 972, 900 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 672, 972, 900 i.e 12.
3. How can I use the GCD of 672, 972, 900Calculator?
Out the numbers 672, 972, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.