GCD of 721, 672, 132 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 721, 672, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 672, 132 is 1
GCD(721, 672, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 672, 132 is 1
GCD(721, 672, 132) = 1
GCDof 721,672,132 is 1
Given Input numbers are 721, 672, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 721, 672, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 672, 132 is 1.
Therefore, GCD of numbers 721, 672, 132 is 1
Given Input Data is 721, 672, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 132 is 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 721, 672, 132 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(721, 672) = 69216
GCD(721, 672) = ( 721 x 672 ) / 69216
GCD(721, 672) = 484512 / 69216
GCD(721, 672) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 132) = 924
GCD(7, 132) = ( 7 x 132 ) / 924
GCD(7, 132) = 924 / 924
GCD(7, 132) = 1
GCD of 721, 672, 132 is 1
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FAQs on GCD of numbers 721, 672, 132
1. What is the GCD of 721, 672, 132?
GCD of 721, 672, 132 is 1
2. Where do I get the detailed procedure to find GCD of 721, 672, 132?
You can find a detailed procedure to find GCD of 721, 672, 132 on our page.
3. How to find GCD of 721, 672, 132 on a calculator?
You can find the GCD of 721, 672, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.