Greatest Common Factor of 85/78, 51/20, 154/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/78, 51/20, 154/514

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 85/78,51/20,154/514

Given fractions are 85/78,51/20,154/514

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 85,51,154

Greatest Common Factor of Numerators i.e. GCF of 85,51,154 is 1 .

LCM of Denominators means LCM of 78,20,514 as per the given fractions.

LCM of 78,20,514 is 200460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,51,154

GCF of Fractions 85/78,51/20,154/514 is 1/200460

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

Greatest Common Factor of 85,51,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,51,154 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 85,51,154 . The biggest common factor number is the GCF number.
So the greatest common factor 85,51,154 is 1.

Lets's calculate LCM of 78,20,514

2 78, 20, 514
39, 10, 257

∴ So the LCM of the given numbers is 2 x 39 x 10 x 257 = 200460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200460

Therefore, the GCF of Fractions 85/78,51/20,154/514 is 1/200460

Least Common Multiple of 78,20,514 with GCF Formula

Least Common Multiple of 78,20,514 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 78,20,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,20,514) = 2

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

GCF(78,20,514) x common factors =2 x 2 = 4

LCM(78,20,514) = ( 78 × 20 × 514 ) / 4

LCM(78,20,514) = 801840 / 4

LCM(78,20,514) = 200460


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 85/78, 51/20, 154/514

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 85/78, 51/20, 154/514?

Answer: GCF of Numerators as per given numbers 85/78, 51/20, 154/514 is

GCF of Numerators i.e. for 85,51,154 is 1

LCM of denominators i.e. for 78,20,514 is 200460.

Thus, GCF of Fractions is 1/200460.Finally, GCF of Fractions for 85/78, 51/20, 154/514 is 1/200460.