Greatest Common Factor of 347/842, 1456/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/842, 1456/908

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 347/842,1456/908

Given fractions are 347/842,1456/908

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 347,1456

Greatest Common Factor of Numerators i.e. GCF of 347,1456 is 1 .

LCM of Denominators means LCM of 842,908 as per the given fractions.

LCM of 842,908 is 382268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,1456

GCF of Fractions 347/842,1456/908 is 1/382268

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

Greatest Common Factor of 347,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,1456 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 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 347,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 347,1456 is 1.

Lets's calculate LCM of 842,908

2 842, 908
421, 454

∴ So the LCM of the given numbers is 2 x 421 x 454 = 382268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382268

Therefore, the GCF of Fractions 347/842,1456/908 is 1/382268

Least Common Multiple of 842,908 with GCF Formula

Least Common Multiple of 842,908 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 842,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,908) = 2

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

GCF(842,908) x common factors =2 x 1 = 2

LCM(842,908) = ( 842 × 908 ) / 2

LCM(842,908) = 764536 / 2

LCM(842,908) = 382268


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 347/842, 1456/908

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 347/842, 1456/908?

Answer: GCF of Numerators as per given numbers 347/842, 1456/908 is

GCF of Numerators i.e. for 347,1456 is 1

LCM of denominators i.e. for 842,908 is 382268.

Thus, GCF of Fractions is 1/382268.Finally, GCF of Fractions for 347/842, 1456/908 is 1/382268.