Greatest Common Factor of 71/50, 51/78, 398/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/50, 51/78, 398/533

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 71/50,51/78,398/533

Given fractions are 71/50,51/78,398/533

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 71,51,398

Greatest Common Factor of Numerators i.e. GCF of 71,51,398 is 1 .

LCM of Denominators means LCM of 50,78,533 as per the given fractions.

LCM of 50,78,533 is 79950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,51,398

GCF of Fractions 71/50,51/78,398/533 is 1/79950

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

Greatest Common Factor of 71,51,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,51,398 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 51

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

1,3,17,51

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 71,51,398 . The biggest common factor number is the GCF number.
So the greatest common factor 71,51,398 is 1.

Lets's calculate LCM of 50,78,533

2 50, 78, 533
13 25, 39, 533
25, 3, 41

∴ So the LCM of the given numbers is 2 x 13 x 25 x 3 x 41 = 79950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79950

Therefore, the GCF of Fractions 71/50,51/78,398/533 is 1/79950

Least Common Multiple of 50,78,533 with GCF Formula

Least Common Multiple of 50,78,533 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 50,78,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,78,533) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(50,78,533) x common factors =1 x 26 = 26

LCM(50,78,533) = ( 50 × 78 × 533 ) / 26

LCM(50,78,533) = 2078700 / 26

LCM(50,78,533) = 79950


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 71/50, 51/78, 398/533

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 71/50, 51/78, 398/533?

Answer: GCF of Numerators as per given numbers 71/50, 51/78, 398/533 is

GCF of Numerators i.e. for 71,51,398 is 1

LCM of denominators i.e. for 50,78,533 is 79950.

Thus, GCF of Fractions is 1/79950.Finally, GCF of Fractions for 71/50, 51/78, 398/533 is 1/79950.