Greatest Common Factor of 46/218, 476/252, 359/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/218, 476/252, 359/347

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 46/218,476/252,359/347

Given fractions are 46/218,476/252,359/347

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 46,476,359

Greatest Common Factor of Numerators i.e. GCF of 46,476,359 is 1 .

LCM of Denominators means LCM of 218,252,347 as per the given fractions.

LCM of 218,252,347 is 9531396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,476,359

GCF of Fractions 46/218,476/252,359/347 is 1/9531396

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

Greatest Common Factor of 46,476,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,476,359 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 46,476,359 . The biggest common factor number is the GCF number.
So the greatest common factor 46,476,359 is 1.

Lets's calculate LCM of 218,252,347

2 218, 252, 347
109, 126, 347

∴ So the LCM of the given numbers is 2 x 109 x 126 x 347 = 9531396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9531396

Therefore, the GCF of Fractions 46/218,476/252,359/347 is 1/9531396

Least Common Multiple of 218,252,347 with GCF Formula

Least Common Multiple of 218,252,347 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 218,252,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,252,347) = 1

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

GCF(218,252,347) x common factors =1 x 2 = 2

LCM(218,252,347) = ( 218 × 252 × 347 ) / 2

LCM(218,252,347) = 19062792 / 2

LCM(218,252,347) = 9531396


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 46/218, 476/252, 359/347

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 46/218, 476/252, 359/347?

Answer: GCF of Numerators as per given numbers 46/218, 476/252, 359/347 is

GCF of Numerators i.e. for 46,476,359 is 1

LCM of denominators i.e. for 218,252,347 is 9531396.

Thus, GCF of Fractions is 1/9531396.Finally, GCF of Fractions for 46/218, 476/252, 359/347 is 1/9531396.