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GCD of 56, 59, 45, 37 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 56, 59, 45, 37 quickly. Get the easiest ways to solve the greatest common divisor of 56, 59, 45, 37 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 56, 59, 45, 37 with Factoring?

Given Input numbers are 56, 59, 45, 37

In the factoring method, we have to find the divisors of all numbers

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37


GCD of numbers is the greatest common divisor

So, the GCD (56, 59, 45, 37) = 1.

Find GCD of 56, 59, 45, 37 using Prime Factorization

Given numbers are 56, 59, 45, 37

The list of prime factors of all numbers are

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 59 are 59

Prime factors of 45 are 3 x 3 x 5

Prime factors of 37 are 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 56, 59, 45, 37 using LCM Formula

Given numbers are 56, 59, 45, 37

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(56, 59) = 3304

GCD(56, 59) = ( 56 x 59 ) / 3304

= 56 / 59

= 56


Step2:

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

= 1 / 45

= 1


Step3:

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

= 1 / 37

= 1


So, Greatest Common Divisor of 56, 59, 45, 37 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 56, 59, 45, 37

Given numbers are 56, 59, 45, 37
The greatest common divisor of numbers 56, 59, 45, 37 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 56, 59, 45, 37 is 1.

FAQs on GCD of 56, 59, 45, 37 Calculator

1. What is the GCD of 56, 59, 45, 37?

GCD of given numbers 56, 59, 45, 37 is 1


2. How to calculate the greatest common divisor of 56, 59, 45, 37?

We can find the highest common divisor of 56, 59, 45, 37 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 56, 59, 45, 37 i.e 1.


3. How can I use the GCD of 56, 59, 45, 37Calculator?

Out the numbers 56, 59, 45, 37 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.