Greatest Common Factor of 83/497, 716/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/497, 716/739

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 83/497,716/739

Given fractions are 83/497,716/739

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 83,716

Greatest Common Factor of Numerators i.e. GCF of 83,716 is 1 .

LCM of Denominators means LCM of 497,739 as per the given fractions.

LCM of 497,739 is 367283 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,716

GCF of Fractions 83/497,716/739 is 1/367283

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 83,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,716 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 83,716 . The biggest common factor number is the GCF number.
So the greatest common factor 83,716 is 1.

Lets's calculate LCM of 497,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 367283

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367283

Therefore, the GCF of Fractions 83/497,716/739 is 1/367283

Least Common Multiple of 497,739 with GCF Formula

Least Common Multiple of 497,739 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 497,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,739) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(497,739) x common factors =1 x 1 = 1

LCM(497,739) = ( 497 × 739 ) / 1

LCM(497,739) = 367283 / 1

LCM(497,739) = 367283


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 83/497, 716/739

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 83/497, 716/739?

Answer: GCF of Numerators as per given numbers 83/497, 716/739 is

GCF of Numerators i.e. for 83,716 is 1

LCM of denominators i.e. for 497,739 is 367283.

Thus, GCF of Fractions is 1/367283.Finally, GCF of Fractions for 83/497, 716/739 is 1/367283.