GCD of 32, 72, 49, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 32, 72, 49, 21 quickly. Get the easiest ways to solve the greatest common divisor of 32, 72, 49, 21 i.e 1 in different methods as follows.
Given Input numbers are 32, 72, 49, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 32 :
The positive integer divisors of 32 that completely divides 32 are.
1, 2, 4, 8, 16, 32
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
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (32, 72, 49, 21) = 1.
Given numbers are 32, 72, 49, 21
The list of prime factors of all numbers are
Prime factors of 32 are 2 x 2 x 2 x 2 x 2
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 49 are 7 x 7
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 32, 72, 49, 21 using LCM Formula
Given numbers are 32, 72, 49, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(32, 72) = 288
GCD(32, 72) = ( 32 x 72 ) / 288
= 32 / 72
= 32
Step2:
LCM(8, 49) = 392
GCD(8, 49) = ( 8 x 49 ) / 392
= 8 / 49
= 8
Step3:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 32, 72, 49, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 32, 72, 49, 21
Given numbers are 32, 72, 49, 21
The greatest common divisor of numbers 32, 72, 49, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 32, 72, 49, 21 is 1.
FAQs on GCD of 32, 72, 49, 21 Calculator
1. What is the GCD of 32, 72, 49, 21?
GCD of given numbers 32, 72, 49, 21 is 1
2. How to calculate the greatest common divisor of 32, 72, 49, 21?
We can find the highest common divisor of 32, 72, 49, 21 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 32, 72, 49, 21 i.e 1.
3. How can I use the GCD of 32, 72, 49, 21Calculator?
Out the numbers 32, 72, 49, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.