Greatest Common Factor of 1/46, 44/54, 79/578, 349/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/46, 44/54, 79/578, 349/351

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 1/46,44/54,79/578,349/351

Given fractions are 1/46,44/54,79/578,349/351

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 1,44,79,349

Greatest Common Factor of Numerators i.e. GCF of 1,44,79,349 is 1 .

LCM of Denominators means LCM of 46,54,578,351 as per the given fractions.

LCM of 46,54,578,351 is 4666194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,44,79,349

GCF of Fractions 1/46,44/54,79/578,349/351 is 1/4666194

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

Greatest Common Factor of 1,44,79,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,44,79,349 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 79

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

1,79

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 1,44,79,349 . The biggest common factor number is the GCF number.
So the greatest common factor 1,44,79,349 is 1.

Lets's calculate LCM of 46,54,578,351

2 46, 54, 578, 351
3 23, 27, 289, 351
3 23, 9, 289, 117
3 23, 3, 289, 39
23, 1, 289, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 23 x 1 x 289 x 13 = 4666194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4666194

Therefore, the GCF of Fractions 1/46,44/54,79/578,349/351 is 1/4666194

Least Common Multiple of 46,54,578,351 with GCF Formula

Least Common Multiple of 46,54,578,351 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 46,54,578,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,54,578,351) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(46,54,578,351) x common factors =1 x 108 = 108

LCM(46,54,578,351) = ( 46 × 54 × 578 × 351 ) / 108

LCM(46,54,578,351) = 503948952 / 108

LCM(46,54,578,351) = 4666194


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 1/46, 44/54, 79/578, 349/351

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 1/46, 44/54, 79/578, 349/351?

Answer: GCF of Numerators as per given numbers 1/46, 44/54, 79/578, 349/351 is

GCF of Numerators i.e. for 1,44,79,349 is 1

LCM of denominators i.e. for 46,54,578,351 is 4666194.

Thus, GCF of Fractions is 1/4666194.Finally, GCF of Fractions for 1/46, 44/54, 79/578, 349/351 is 1/4666194.