Greatest Common Factor of 277/94, 470/58, 532/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/94, 470/58, 532/50

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 277/94,470/58,532/50

Given fractions are 277/94,470/58,532/50

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 277,470,532

Greatest Common Factor of Numerators i.e. GCF of 277,470,532 is 1 .

LCM of Denominators means LCM of 94,58,50 as per the given fractions.

LCM of 94,58,50 is 68150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,470,532

GCF of Fractions 277/94,470/58,532/50 is 1/68150

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

Greatest Common Factor of 277,470,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,470,532 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 277,470,532 . The biggest common factor number is the GCF number.
So the greatest common factor 277,470,532 is 1.

Lets's calculate LCM of 94,58,50

2 94, 58, 50
47, 29, 25

∴ So the LCM of the given numbers is 2 x 47 x 29 x 25 = 68150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68150

Therefore, the GCF of Fractions 277/94,470/58,532/50 is 1/68150

Least Common Multiple of 94,58,50 with GCF Formula

Least Common Multiple of 94,58,50 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 94,58,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,58,50) = 2

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

GCF(94,58,50) x common factors =2 x 2 = 4

LCM(94,58,50) = ( 94 × 58 × 50 ) / 4

LCM(94,58,50) = 272600 / 4

LCM(94,58,50) = 68150


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 277/94, 470/58, 532/50

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 277/94, 470/58, 532/50?

Answer: GCF of Numerators as per given numbers 277/94, 470/58, 532/50 is

GCF of Numerators i.e. for 277,470,532 is 1

LCM of denominators i.e. for 94,58,50 is 68150.

Thus, GCF of Fractions is 1/68150.Finally, GCF of Fractions for 277/94, 470/58, 532/50 is 1/68150.