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GCD of 248, 470, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 248, 470, 172 quickly. Get the easiest ways to solve the greatest common divisor of 248, 470, 172 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 248, 470, 172 with Factoring?

Given Input numbers are 248, 470, 172

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (248, 470, 172) = 2.

Find GCD of 248, 470, 172 using Prime Factorization

Given numbers are 248, 470, 172

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 470 are 2 x 5 x 47

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 21

Therefore, GCD of 248, 470, 172 is 2.

Steps to Calculate GCD of 248, 470, 172 using LCM Formula

Given numbers are 248, 470, 172

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

Apply this formula for all numbers.

Step1:

LCM(248, 470) = 58280

GCD(248, 470) = ( 248 x 470 ) / 58280

= 248 / 470

= 248


Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2


So, Greatest Common Divisor of 248, 470, 172 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 248, 470, 172

Given numbers are 248, 470, 172
The greatest common divisor of numbers 248, 470, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 470, 172 is 2.

FAQs on GCD of 248, 470, 172 Calculator

1. What is the GCD of 248, 470, 172?

GCD of given numbers 248, 470, 172 is 2


2. How to calculate the greatest common divisor of 248, 470, 172?

We can find the highest common divisor of 248, 470, 172 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 248, 470, 172 i.e 2.


3. How can I use the GCD of 248, 470, 172Calculator?

Out the numbers 248, 470, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.