GCD of 61, 96, 74, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 61, 96, 74, 21 quickly. Get the easiest ways to solve the greatest common divisor of 61, 96, 74, 21 i.e 1 in different methods as follows.
Given Input numbers are 61, 96, 74, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 61 :
The positive integer divisors of 61 that completely divides 61 are.
1, 61
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
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 (61, 96, 74, 21) = 1.
Given numbers are 61, 96, 74, 21
The list of prime factors of all numbers are
Prime factors of 61 are 61
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 74 are 2 x 37
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 61, 96, 74, 21 using LCM Formula
Given numbers are 61, 96, 74, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(61, 96) = 5856
GCD(61, 96) = ( 61 x 96 ) / 5856
= 61 / 96
= 61
Step2:
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
= 1 / 74
= 1
Step3:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 61, 96, 74, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 61, 96, 74, 21
Given numbers are 61, 96, 74, 21
The greatest common divisor of numbers 61, 96, 74, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 61, 96, 74, 21 is 1.
FAQs on GCD of 61, 96, 74, 21 Calculator
1. What is the GCD of 61, 96, 74, 21?
GCD of given numbers 61, 96, 74, 21 is 1
2. How to calculate the greatest common divisor of 61, 96, 74, 21?
We can find the highest common divisor of 61, 96, 74, 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 61, 96, 74, 21 i.e 1.
3. How can I use the GCD of 61, 96, 74, 21Calculator?
Out the numbers 61, 96, 74, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.