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GCD of 48, 50, 87, 22 Calculator

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


Online GCD Calculator is useful to find the GCD of 48, 50, 87, 22 quickly. Get the easiest ways to solve the greatest common divisor of 48, 50, 87, 22 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 48, 50, 87, 22 with Factoring?

Given Input numbers are 48, 50, 87, 22

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 50 :

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

1, 2, 5, 10, 25, 50

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22


GCD of numbers is the greatest common divisor

So, the GCD (48, 50, 87, 22) = 1.

Find GCD of 48, 50, 87, 22 using Prime Factorization

Given numbers are 48, 50, 87, 22

The list of prime factors of all numbers are

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 50 are 2 x 5 x 5

Prime factors of 87 are 3 x 29

Prime factors of 22 are 2 x 11

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

Steps to Calculate GCD of 48, 50, 87, 22 using LCM Formula

Given numbers are 48, 50, 87, 22

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

Apply this formula for all numbers.

Step1:

LCM(48, 50) = 1200

GCD(48, 50) = ( 48 x 50 ) / 1200

= 48 / 50

= 48


Step2:

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

= 2 / 87

= 2


Step3:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1


So, Greatest Common Divisor of 48, 50, 87, 22 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 48, 50, 87, 22

Given numbers are 48, 50, 87, 22
The greatest common divisor of numbers 48, 50, 87, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 48, 50, 87, 22 is 1.

FAQs on GCD of 48, 50, 87, 22 Calculator

1. What is the GCD of 48, 50, 87, 22?

GCD of given numbers 48, 50, 87, 22 is 1


2. How to calculate the greatest common divisor of 48, 50, 87, 22?

We can find the highest common divisor of 48, 50, 87, 22 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 48, 50, 87, 22 i.e 1.


3. How can I use the GCD of 48, 50, 87, 22Calculator?

Out the numbers 48, 50, 87, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.