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GCD of 992, 430, 153, 138 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, 430, 153, 138 quickly. Get the easiest ways to solve the greatest common divisor of 992, 430, 153, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 430, 153, 138 with Factoring?

Given Input numbers are 992, 430, 153, 138

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 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (992, 430, 153, 138) = 1.

Find GCD of 992, 430, 153, 138 using Prime Factorization

Given numbers are 992, 430, 153, 138

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 430 are 2 x 5 x 43

Prime factors of 153 are 3 x 3 x 17

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 992, 430, 153, 138 using LCM Formula

Given numbers are 992, 430, 153, 138

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

Apply this formula for all numbers.

Step1:

LCM(992, 430) = 213280

GCD(992, 430) = ( 992 x 430 ) / 213280

= 992 / 430

= 992


Step2:

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

= 2 / 153

= 2


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 992, 430, 153, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 430, 153, 138

Given numbers are 992, 430, 153, 138
The greatest common divisor of numbers 992, 430, 153, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 430, 153, 138 is 1.

FAQs on GCD of 992, 430, 153, 138 Calculator

1. What is the GCD of 992, 430, 153, 138?

GCD of given numbers 992, 430, 153, 138 is 1


2. How to calculate the greatest common divisor of 992, 430, 153, 138?

We can find the highest common divisor of 992, 430, 153, 138 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, 430, 153, 138 i.e 1.


3. How can I use the GCD of 992, 430, 153, 138Calculator?

Out the numbers 992, 430, 153, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.