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GCD of 280, 862, 422, 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 280, 862, 422, 172 quickly. Get the easiest ways to solve the greatest common divisor of 280, 862, 422, 172 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 280, 862, 422, 172 with Factoring?

Given Input numbers are 280, 862, 422, 172

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 (280, 862, 422, 172) = 2.

Find GCD of 280, 862, 422, 172 using Prime Factorization

Given numbers are 280, 862, 422, 172

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 862 are 2 x 431

Prime factors of 422 are 2 x 211

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 21

Therefore, GCD of 280, 862, 422, 172 is 2.

Steps to Calculate GCD of 280, 862, 422, 172 using LCM Formula

Given numbers are 280, 862, 422, 172

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

Apply this formula for all numbers.

Step1:

LCM(280, 862) = 120680

GCD(280, 862) = ( 280 x 862 ) / 120680

= 280 / 862

= 280


Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2


Step3:

LCM(2, 172) = 172

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

= 2 / 172

= 2


So, Greatest Common Divisor of 280, 862, 422, 172 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 280, 862, 422, 172

Given numbers are 280, 862, 422, 172
The greatest common divisor of numbers 280, 862, 422, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 862, 422, 172 is 2.

FAQs on GCD of 280, 862, 422, 172 Calculator

1. What is the GCD of 280, 862, 422, 172?

GCD of given numbers 280, 862, 422, 172 is 2


2. How to calculate the greatest common divisor of 280, 862, 422, 172?

We can find the highest common divisor of 280, 862, 422, 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 280, 862, 422, 172 i.e 2.


3. How can I use the GCD of 280, 862, 422, 172Calculator?

Out the numbers 280, 862, 422, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.