GCD of 74, 54, 90, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 74, 54, 90, 64 quickly. Get the easiest ways to solve the greatest common divisor of 74, 54, 90, 64 i.e 2 in different methods as follows.
Given Input numbers are 74, 54, 90, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (74, 54, 90, 64) = 2.
Given numbers are 74, 54, 90, 64
The list of prime factors of all numbers are
Prime factors of 74 are 2 x 37
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 74, 54, 90, 64 is 2.
Steps to Calculate GCD of 74, 54, 90, 64 using LCM Formula
Given numbers are 74, 54, 90, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(74, 54) = 1998
GCD(74, 54) = ( 74 x 54 ) / 1998
= 74 / 54
= 74
Step2:
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
= 2 / 90
= 2
Step3:
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
= 2 / 64
= 2
So, Greatest Common Divisor of 74, 54, 90, 64 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 74, 54, 90, 64
Given numbers are 74, 54, 90, 64
The greatest common divisor of numbers 74, 54, 90, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 74, 54, 90, 64 is 2.
FAQs on GCD of 74, 54, 90, 64 Calculator
1. What is the GCD of 74, 54, 90, 64?
GCD of given numbers 74, 54, 90, 64 is 2
2. How to calculate the greatest common divisor of 74, 54, 90, 64?
We can find the highest common divisor of 74, 54, 90, 64 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 74, 54, 90, 64 i.e 2.
3. How can I use the GCD of 74, 54, 90, 64Calculator?
Out the numbers 74, 54, 90, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.