Greatest Common Factor of 947/35, 723/76, 177/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/35, 723/76, 177/287

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 947/35,723/76,177/287

Given fractions are 947/35,723/76,177/287

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 947,723,177

Greatest Common Factor of Numerators i.e. GCF of 947,723,177 is 1 .

LCM of Denominators means LCM of 35,76,287 as per the given fractions.

LCM of 35,76,287 is 109060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,723,177

GCF of Fractions 947/35,723/76,177/287 is 1/109060

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

Greatest Common Factor of 947,723,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,723,177 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 947,723,177 . The biggest common factor number is the GCF number.
So the greatest common factor 947,723,177 is 1.

Lets's calculate LCM of 35,76,287

7 35, 76, 287
5, 76, 41

∴ So the LCM of the given numbers is 7 x 5 x 76 x 41 = 109060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109060

Therefore, the GCF of Fractions 947/35,723/76,177/287 is 1/109060

Least Common Multiple of 35,76,287 with GCF Formula

Least Common Multiple of 35,76,287 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 35,76,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,76,287) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,76,287) x common factors =1 x 7 = 7

LCM(35,76,287) = ( 35 × 76 × 287 ) / 7

LCM(35,76,287) = 763420 / 7

LCM(35,76,287) = 109060


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 947/35, 723/76, 177/287

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 947/35, 723/76, 177/287?

Answer: GCF of Numerators as per given numbers 947/35, 723/76, 177/287 is

GCF of Numerators i.e. for 947,723,177 is 1

LCM of denominators i.e. for 35,76,287 is 109060.

Thus, GCF of Fractions is 1/109060.Finally, GCF of Fractions for 947/35, 723/76, 177/287 is 1/109060.