Greatest Common Factor of 102/93, 464/17, 454/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/93, 464/17, 454/342

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 102/93,464/17,454/342

Given fractions are 102/93,464/17,454/342

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 102,464,454

Greatest Common Factor of Numerators i.e. GCF of 102,464,454 is 2 .

LCM of Denominators means LCM of 93,17,342 as per the given fractions.

LCM of 93,17,342 is 180234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,464,454

GCF of Fractions 102/93,464/17,454/342 is 2/180234

2 102, 464, 454
51, 232, 227

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

Greatest Common Factor of 102,464,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,464,454 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 102,464,454 . The biggest common factor number is the GCF number.
So the greatest common factor 102,464,454 is 2.

Lets's calculate LCM of 93,17,342

3 93, 17, 342
31, 17, 114

∴ So the LCM of the given numbers is 3 x 31 x 17 x 114 = 180234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180234

Therefore, the GCF of Fractions 102/93,464/17,454/342 is 2/180234

Least Common Multiple of 93,17,342 with GCF Formula

Least Common Multiple of 93,17,342 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 93,17,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,17,342) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,17,342) x common factors =1 x 3 = 3

LCM(93,17,342) = ( 93 × 17 × 342 ) / 3

LCM(93,17,342) = 540702 / 3

LCM(93,17,342) = 180234


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 102/93, 464/17, 454/342

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 102/93, 464/17, 454/342?

Answer: GCF of Numerators as per given numbers 102/93, 464/17, 454/342 is

GCF of Numerators i.e. for 102,464,454 is 2

LCM of denominators i.e. for 93,17,342 is 180234.

Thus, GCF of Fractions is 2/180234.Finally, GCF of Fractions for 102/93, 464/17, 454/342 is 2/180234.