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GCD of 50, 85, 45, 96 Calculator

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


Online GCD Calculator is useful to find the GCD of 50, 85, 45, 96 quickly. Get the easiest ways to solve the greatest common divisor of 50, 85, 45, 96 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 50, 85, 45, 96 with Factoring?

Given Input numbers are 50, 85, 45, 96

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

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 45 :

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

1, 3, 5, 9, 15, 45

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


GCD of numbers is the greatest common divisor

So, the GCD (50, 85, 45, 96) = 1.

Find GCD of 50, 85, 45, 96 using Prime Factorization

Given numbers are 50, 85, 45, 96

The list of prime factors of all numbers are

Prime factors of 50 are 2 x 5 x 5

Prime factors of 85 are 5 x 17

Prime factors of 45 are 3 x 3 x 5

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 50, 85, 45, 96 using LCM Formula

Given numbers are 50, 85, 45, 96

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

Apply this formula for all numbers.

Step1:

LCM(50, 85) = 850

GCD(50, 85) = ( 50 x 85 ) / 850

= 50 / 85

= 50


Step2:

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

= 5 / 45

= 5


Step3:

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

= 5 / 96

= 5


So, Greatest Common Divisor of 50, 85, 45, 96 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 50, 85, 45, 96

Given numbers are 50, 85, 45, 96
The greatest common divisor of numbers 50, 85, 45, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 50, 85, 45, 96 is 1.

FAQs on GCD of 50, 85, 45, 96 Calculator

1. What is the GCD of 50, 85, 45, 96?

GCD of given numbers 50, 85, 45, 96 is 1


2. How to calculate the greatest common divisor of 50, 85, 45, 96?

We can find the highest common divisor of 50, 85, 45, 96 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 50, 85, 45, 96 i.e 1.


3. How can I use the GCD of 50, 85, 45, 96Calculator?

Out the numbers 50, 85, 45, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.