Greatest Common Factor of 831/672, 3458/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 831/672, 3458/546

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 831/672,3458/546

Given fractions are 831/672,3458/546

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 831,3458

Greatest Common Factor of Numerators i.e. GCF of 831,3458 is 1 .

LCM of Denominators means LCM of 672,546 as per the given fractions.

LCM of 672,546 is 8736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 831,3458

GCF of Fractions 831/672,3458/546 is 1/8736

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

Greatest Common Factor of 831,3458 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,3458 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 831,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 831,3458 is 1.

Lets's calculate LCM of 672,546

2 672, 546
3 336, 273
7 112, 91
16, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 16 x 13 = 8736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8736

Therefore, the GCF of Fractions 831/672,3458/546 is 1/8736

Least Common Multiple of 672,546 with GCF Formula

Least Common Multiple of 672,546 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 672,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,546) = 42

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

GCF(672,546) x common factors =42 x 1 = 42

LCM(672,546) = ( 672 × 546 ) / 42

LCM(672,546) = 366912 / 42

LCM(672,546) = 8736


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 831/672, 3458/546

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 831/672, 3458/546?

Answer: GCF of Numerators as per given numbers 831/672, 3458/546 is

GCF of Numerators i.e. for 831,3458 is 1

LCM of denominators i.e. for 672,546 is 8736.

Thus, GCF of Fractions is 1/8736.Finally, GCF of Fractions for 831/672, 3458/546 is 1/8736.