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GCD of 498, 851, 112, 739 Calculator

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


Online GCD Calculator is useful to find the GCD of 498, 851, 112, 739 quickly. Get the easiest ways to solve the greatest common divisor of 498, 851, 112, 739 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 851, 112, 739 with Factoring?

Given Input numbers are 498, 851, 112, 739

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739


GCD of numbers is the greatest common divisor

So, the GCD (498, 851, 112, 739) = 1.

Find GCD of 498, 851, 112, 739 using Prime Factorization

Given numbers are 498, 851, 112, 739

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 851 are 23 x 37

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 739 are 739

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

Steps to Calculate GCD of 498, 851, 112, 739 using LCM Formula

Given numbers are 498, 851, 112, 739

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

Apply this formula for all numbers.

Step1:

LCM(498, 851) = 423798

GCD(498, 851) = ( 498 x 851 ) / 423798

= 498 / 851

= 498


Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1


So, Greatest Common Divisor of 498, 851, 112, 739 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 851, 112, 739

Given numbers are 498, 851, 112, 739
The greatest common divisor of numbers 498, 851, 112, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 851, 112, 739 is 1.

FAQs on GCD of 498, 851, 112, 739 Calculator

1. What is the GCD of 498, 851, 112, 739?

GCD of given numbers 498, 851, 112, 739 is 1


2. How to calculate the greatest common divisor of 498, 851, 112, 739?

We can find the highest common divisor of 498, 851, 112, 739 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 498, 851, 112, 739 i.e 1.


3. How can I use the GCD of 498, 851, 112, 739Calculator?

Out the numbers 498, 851, 112, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.