GCD of 16, 74, 75, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 16, 74, 75, 64 quickly. Get the easiest ways to solve the greatest common divisor of 16, 74, 75, 64 i.e 1 in different methods as follows.
Given Input numbers are 16, 74, 75, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 16 :
The positive integer divisors of 16 that completely divides 16 are.
1, 2, 4, 8, 16
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
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 (16, 74, 75, 64) = 1.
Given numbers are 16, 74, 75, 64
The list of prime factors of all numbers are
Prime factors of 16 are 2 x 2 x 2 x 2
Prime factors of 74 are 2 x 37
Prime factors of 75 are 3 x 5 x 5
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 16, 74, 75, 64 using LCM Formula
Given numbers are 16, 74, 75, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(16, 74) = 592
GCD(16, 74) = ( 16 x 74 ) / 592
= 16 / 74
= 16
Step2:
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
= 2 / 75
= 2
Step3:
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
= 1 / 64
= 1
So, Greatest Common Divisor of 16, 74, 75, 64 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 16, 74, 75, 64
Given numbers are 16, 74, 75, 64
The greatest common divisor of numbers 16, 74, 75, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 16, 74, 75, 64 is 1.
FAQs on GCD of 16, 74, 75, 64 Calculator
1. What is the GCD of 16, 74, 75, 64?
GCD of given numbers 16, 74, 75, 64 is 1
2. How to calculate the greatest common divisor of 16, 74, 75, 64?
We can find the highest common divisor of 16, 74, 75, 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 16, 74, 75, 64 i.e 1.
3. How can I use the GCD of 16, 74, 75, 64Calculator?
Out the numbers 16, 74, 75, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.