Greatest Common Factor of 347/667, 4105/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/667, 4105/749

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 347/667,4105/749

Given fractions are 347/667,4105/749

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 347,4105

Greatest Common Factor of Numerators i.e. GCF of 347,4105 is 1 .

LCM of Denominators means LCM of 667,749 as per the given fractions.

LCM of 667,749 is 499583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,4105

GCF of Fractions 347/667,4105/749 is 1/499583

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

Greatest Common Factor of 347,4105 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,4105 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 4105

List of positive integer factors of 4105 that divides 4105 without a remainder.

1,5,821,4105

Greatest Common Factor

We found the factors 347,4105 . The biggest common factor number is the GCF number.
So the greatest common factor 347,4105 is 1.

Lets's calculate LCM of 667,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 499583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499583

Therefore, the GCF of Fractions 347/667,4105/749 is 1/499583

Least Common Multiple of 667,749 with GCF Formula

Least Common Multiple of 667,749 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 667,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,749) = 1

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

GCF(667,749) x common factors =1 x 1 = 1

LCM(667,749) = ( 667 × 749 ) / 1

LCM(667,749) = 499583 / 1

LCM(667,749) = 499583


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 347/667, 4105/749

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 347/667, 4105/749?

Answer: GCF of Numerators as per given numbers 347/667, 4105/749 is

GCF of Numerators i.e. for 347,4105 is 1

LCM of denominators i.e. for 667,749 is 499583.

Thus, GCF of Fractions is 1/499583.Finally, GCF of Fractions for 347/667, 4105/749 is 1/499583.