GCD of 37, 8, 60, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 37, 8, 60, 64 quickly. Get the easiest ways to solve the greatest common divisor of 37, 8, 60, 64 i.e 1 in different methods as follows.
Given Input numbers are 37, 8, 60, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 37 :
The positive integer divisors of 37 that completely divides 37 are.
1, 37
Divisors of 8 :
The positive integer divisors of 8 that completely divides 8 are.
1, 2, 4, 8
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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 (37, 8, 60, 64) = 1.
Given numbers are 37, 8, 60, 64
The list of prime factors of all numbers are
Prime factors of 37 are 37
Prime factors of 8 are 2 x 2 x 2
Prime factors of 60 are 2 x 2 x 3 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 37, 8, 60, 64 using LCM Formula
Given numbers are 37, 8, 60, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(37, 8) = 296
GCD(37, 8) = ( 37 x 8 ) / 296
= 37 / 8
= 37
Step2:
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
= 1 / 60
= 1
Step3:
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
= 1 / 64
= 1
So, Greatest Common Divisor of 37, 8, 60, 64 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 37, 8, 60, 64
Given numbers are 37, 8, 60, 64
The greatest common divisor of numbers 37, 8, 60, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 37, 8, 60, 64 is 1.
FAQs on GCD of 37, 8, 60, 64 Calculator
1. What is the GCD of 37, 8, 60, 64?
GCD of given numbers 37, 8, 60, 64 is 1
2. How to calculate the greatest common divisor of 37, 8, 60, 64?
We can find the highest common divisor of 37, 8, 60, 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 37, 8, 60, 64 i.e 1.
3. How can I use the GCD of 37, 8, 60, 64Calculator?
Out the numbers 37, 8, 60, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.