Greatest Common Factor of 342/43, 726/54, 976/62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 342/43, 726/54, 976/62

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 342/43,726/54,976/62

Given fractions are 342/43,726/54,976/62

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 342,726,976

Greatest Common Factor of Numerators i.e. GCF of 342,726,976 is 2 .

LCM of Denominators means LCM of 43,54,62 as per the given fractions.

LCM of 43,54,62 is 71982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 342,726,976

GCF of Fractions 342/43,726/54,976/62 is 2/71982

2 342, 726, 976
171, 363, 488

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 342,726,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,726,976 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 342,726,976 . The biggest common factor number is the GCF number.
So the greatest common factor 342,726,976 is 2.

Lets's calculate LCM of 43,54,62

2 43, 54, 62
43, 27, 31

∴ So the LCM of the given numbers is 2 x 43 x 27 x 31 = 71982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71982

Therefore, the GCF of Fractions 342/43,726/54,976/62 is 2/71982

Least Common Multiple of 43,54,62 with GCF Formula

Least Common Multiple of 43,54,62 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 43,54,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,54,62) = 1

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

GCF(43,54,62) x common factors =1 x 2 = 2

LCM(43,54,62) = ( 43 × 54 × 62 ) / 2

LCM(43,54,62) = 143964 / 2

LCM(43,54,62) = 71982


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 342/43, 726/54, 976/62

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 342/43, 726/54, 976/62?

Answer: GCF of Numerators as per given numbers 342/43, 726/54, 976/62 is

GCF of Numerators i.e. for 342,726,976 is 2

LCM of denominators i.e. for 43,54,62 is 71982.

Thus, GCF of Fractions is 2/71982.Finally, GCF of Fractions for 342/43, 726/54, 976/62 is 2/71982.