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GCD of 992, 160, 172, 334 Calculator

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


Online GCD Calculator is useful to find the GCD of 992, 160, 172, 334 quickly. Get the easiest ways to solve the greatest common divisor of 992, 160, 172, 334 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 160, 172, 334 with Factoring?

Given Input numbers are 992, 160, 172, 334

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334


GCD of numbers is the greatest common divisor

So, the GCD (992, 160, 172, 334) = 2.

Find GCD of 992, 160, 172, 334 using Prime Factorization

Given numbers are 992, 160, 172, 334

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 172 are 2 x 2 x 43

Prime factors of 334 are 2 x 167

The highest common occurrence is 21

Therefore, GCD of 992, 160, 172, 334 is 2.

Steps to Calculate GCD of 992, 160, 172, 334 using LCM Formula

Given numbers are 992, 160, 172, 334

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

Apply this formula for all numbers.

Step1:

LCM(992, 160) = 4960

GCD(992, 160) = ( 992 x 160 ) / 4960

= 992 / 160

= 992


Step2:

LCM(32, 172) = 1376

GCD(32, 172) = ( 32 x 172 ) / 1376

= 32 / 172

= 32


Step3:

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

= 4 / 334

= 4


So, Greatest Common Divisor of 992, 160, 172, 334 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 160, 172, 334

Given numbers are 992, 160, 172, 334
The greatest common divisor of numbers 992, 160, 172, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 160, 172, 334 is 2.

FAQs on GCD of 992, 160, 172, 334 Calculator

1. What is the GCD of 992, 160, 172, 334?

GCD of given numbers 992, 160, 172, 334 is 2


2. How to calculate the greatest common divisor of 992, 160, 172, 334?

We can find the highest common divisor of 992, 160, 172, 334 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 992, 160, 172, 334 i.e 2.


3. How can I use the GCD of 992, 160, 172, 334Calculator?

Out the numbers 992, 160, 172, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.