Greatest Common Factor of 447/532, 117/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 447/532, 117/548

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 447/532,117/548

Given fractions are 447/532,117/548

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 447,117

Greatest Common Factor of Numerators i.e. GCF of 447,117 is 3 .

LCM of Denominators means LCM of 532,548 as per the given fractions.

LCM of 532,548 is 72884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 447,117

GCF of Fractions 447/532,117/548 is 3/72884

3 447, 117
149, 39

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 447,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,117 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 447,117 . The biggest common factor number is the GCF number.
So the greatest common factor 447,117 is 3.

Lets's calculate LCM of 532,548

2 532, 548
2 266, 274
133, 137

∴ So the LCM of the given numbers is 2 x 2 x 133 x 137 = 72884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72884

Therefore, the GCF of Fractions 447/532,117/548 is 3/72884

Least Common Multiple of 532,548 with GCF Formula

Least Common Multiple of 532,548 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 532,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,548) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(532,548) x common factors =4 x 1 = 4

LCM(532,548) = ( 532 × 548 ) / 4

LCM(532,548) = 291536 / 4

LCM(532,548) = 72884


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 447/532, 117/548

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 447/532, 117/548?

Answer: GCF of Numerators as per given numbers 447/532, 117/548 is

GCF of Numerators i.e. for 447,117 is 3

LCM of denominators i.e. for 532,548 is 72884.

Thus, GCF of Fractions is 3/72884.Finally, GCF of Fractions for 447/532, 117/548 is 3/72884.