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GCD of 412, 992, 72, 167 Calculator

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


Online GCD Calculator is useful to find the GCD of 412, 992, 72, 167 quickly. Get the easiest ways to solve the greatest common divisor of 412, 992, 72, 167 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 412, 992, 72, 167 with Factoring?

Given Input numbers are 412, 992, 72, 167

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167


GCD of numbers is the greatest common divisor

So, the GCD (412, 992, 72, 167) = 1.

Find GCD of 412, 992, 72, 167 using Prime Factorization

Given numbers are 412, 992, 72, 167

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

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

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 167 are 167

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

Steps to Calculate GCD of 412, 992, 72, 167 using LCM Formula

Given numbers are 412, 992, 72, 167

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

Apply this formula for all numbers.

Step1:

LCM(412, 992) = 102176

GCD(412, 992) = ( 412 x 992 ) / 102176

= 412 / 992

= 412


Step2:

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

= 4 / 72

= 4


Step3:

LCM(4, 167) = 668

GCD(4, 167) = ( 4 x 167 ) / 668

= 4 / 167

= 4


So, Greatest Common Divisor of 412, 992, 72, 167 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 412, 992, 72, 167

Given numbers are 412, 992, 72, 167
The greatest common divisor of numbers 412, 992, 72, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 992, 72, 167 is 1.

FAQs on GCD of 412, 992, 72, 167 Calculator

1. What is the GCD of 412, 992, 72, 167?

GCD of given numbers 412, 992, 72, 167 is 1


2. How to calculate the greatest common divisor of 412, 992, 72, 167?

We can find the highest common divisor of 412, 992, 72, 167 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 412, 992, 72, 167 i.e 1.


3. How can I use the GCD of 412, 992, 72, 167Calculator?

Out the numbers 412, 992, 72, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.