Greatest Common Factor of 208/472, 267/346, 886/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/472, 267/346, 886/362

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 208/472,267/346,886/362

Given fractions are 208/472,267/346,886/362

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 208,267,886

Greatest Common Factor of Numerators i.e. GCF of 208,267,886 is 1 .

LCM of Denominators means LCM of 472,346,362 as per the given fractions.

LCM of 472,346,362 is 14779736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,267,886

GCF of Fractions 208/472,267/346,886/362 is 1/14779736

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

Greatest Common Factor of 208,267,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,267,886 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 208,267,886 . The biggest common factor number is the GCF number.
So the greatest common factor 208,267,886 is 1.

Lets's calculate LCM of 472,346,362

2 472, 346, 362
236, 173, 181

∴ So the LCM of the given numbers is 2 x 236 x 173 x 181 = 14779736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14779736

Therefore, the GCF of Fractions 208/472,267/346,886/362 is 1/14779736

Least Common Multiple of 472,346,362 with GCF Formula

Least Common Multiple of 472,346,362 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 472,346,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,346,362) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(472,346,362) x common factors =2 x 2 = 4

LCM(472,346,362) = ( 472 × 346 × 362 ) / 4

LCM(472,346,362) = 59118944 / 4

LCM(472,346,362) = 14779736


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 208/472, 267/346, 886/362

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 208/472, 267/346, 886/362?

Answer: GCF of Numerators as per given numbers 208/472, 267/346, 886/362 is

GCF of Numerators i.e. for 208,267,886 is 1

LCM of denominators i.e. for 472,346,362 is 14779736.

Thus, GCF of Fractions is 1/14779736.Finally, GCF of Fractions for 208/472, 267/346, 886/362 is 1/14779736.