Greatest Common Factor of 547/54, 526/93, 287/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 547/54, 526/93, 287/437

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 547/54,526/93,287/437

Given fractions are 547/54,526/93,287/437

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 547,526,287

Greatest Common Factor of Numerators i.e. GCF of 547,526,287 is 1 .

LCM of Denominators means LCM of 54,93,437 as per the given fractions.

LCM of 54,93,437 is 731538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 547,526,287

GCF of Fractions 547/54,526/93,287/437 is 1/731538

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

Greatest Common Factor of 547,526,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,526,287 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 547,526,287 . The biggest common factor number is the GCF number.
So the greatest common factor 547,526,287 is 1.

Lets's calculate LCM of 54,93,437

3 54, 93, 437
18, 31, 437

∴ So the LCM of the given numbers is 3 x 18 x 31 x 437 = 731538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/731538

Therefore, the GCF of Fractions 547/54,526/93,287/437 is 1/731538

Least Common Multiple of 54,93,437 with GCF Formula

Least Common Multiple of 54,93,437 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 54,93,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,93,437) = 1

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

GCF(54,93,437) x common factors =1 x 3 = 3

LCM(54,93,437) = ( 54 × 93 × 437 ) / 3

LCM(54,93,437) = 2194614 / 3

LCM(54,93,437) = 731538


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 547/54, 526/93, 287/437

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 547/54, 526/93, 287/437?

Answer: GCF of Numerators as per given numbers 547/54, 526/93, 287/437 is

GCF of Numerators i.e. for 547,526,287 is 1

LCM of denominators i.e. for 54,93,437 is 731538.

Thus, GCF of Fractions is 1/731538.Finally, GCF of Fractions for 547/54, 526/93, 287/437 is 1/731538.