Greatest Common Factor of 38/64, 79/49, 343/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/64, 79/49, 343/184

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 38/64,79/49,343/184

Given fractions are 38/64,79/49,343/184

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 38,79,343

Greatest Common Factor of Numerators i.e. GCF of 38,79,343 is 1 .

LCM of Denominators means LCM of 64,49,184 as per the given fractions.

LCM of 64,49,184 is 72128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,79,343

GCF of Fractions 38/64,79/49,343/184 is 1/72128

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

Greatest Common Factor of 38,79,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,79,343 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 38,79,343 . The biggest common factor number is the GCF number.
So the greatest common factor 38,79,343 is 1.

Lets's calculate LCM of 64,49,184

2 64, 49, 184
2 32, 49, 92
2 16, 49, 46
8, 49, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 49 x 23 = 72128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72128

Therefore, the GCF of Fractions 38/64,79/49,343/184 is 1/72128

Least Common Multiple of 64,49,184 with GCF Formula

Least Common Multiple of 64,49,184 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 64,49,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,49,184) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,49,184) x common factors =1 x 8 = 8

LCM(64,49,184) = ( 64 × 49 × 184 ) / 8

LCM(64,49,184) = 577024 / 8

LCM(64,49,184) = 72128


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 38/64, 79/49, 343/184

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 38/64, 79/49, 343/184?

Answer: GCF of Numerators as per given numbers 38/64, 79/49, 343/184 is

GCF of Numerators i.e. for 38,79,343 is 1

LCM of denominators i.e. for 64,49,184 is 72128.

Thus, GCF of Fractions is 1/72128.Finally, GCF of Fractions for 38/64, 79/49, 343/184 is 1/72128.