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GCD of 431, 998, 137, 768 Calculator

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


Online GCD Calculator is useful to find the GCD of 431, 998, 137, 768 quickly. Get the easiest ways to solve the greatest common divisor of 431, 998, 137, 768 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 431, 998, 137, 768 with Factoring?

Given Input numbers are 431, 998, 137, 768

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (431, 998, 137, 768) = 1.

Find GCD of 431, 998, 137, 768 using Prime Factorization

Given numbers are 431, 998, 137, 768

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 998 are 2 x 499

Prime factors of 137 are 137

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 431, 998, 137, 768 using LCM Formula

Given numbers are 431, 998, 137, 768

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

Apply this formula for all numbers.

Step1:

LCM(431, 998) = 430138

GCD(431, 998) = ( 431 x 998 ) / 430138

= 431 / 998

= 431


Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1


Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1


So, Greatest Common Divisor of 431, 998, 137, 768 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 431, 998, 137, 768

Given numbers are 431, 998, 137, 768
The greatest common divisor of numbers 431, 998, 137, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 998, 137, 768 is 1.

FAQs on GCD of 431, 998, 137, 768 Calculator

1. What is the GCD of 431, 998, 137, 768?

GCD of given numbers 431, 998, 137, 768 is 1


2. How to calculate the greatest common divisor of 431, 998, 137, 768?

We can find the highest common divisor of 431, 998, 137, 768 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 431, 998, 137, 768 i.e 1.


3. How can I use the GCD of 431, 998, 137, 768Calculator?

Out the numbers 431, 998, 137, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.