Greatest Common Factor of 71/224, 3432/5887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/224, 3432/5887

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 71/224,3432/5887

Given fractions are 71/224,3432/5887

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 71,3432

Greatest Common Factor of Numerators i.e. GCF of 71,3432 is 1 .

LCM of Denominators means LCM of 224,5887 as per the given fractions.

LCM of 224,5887 is 188384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,3432

GCF of Fractions 71/224,3432/5887 is 1/188384

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

Greatest Common Factor of 71,3432 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3432 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 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 71,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3432 is 1.

Lets's calculate LCM of 224,5887

7 224, 5887
32, 841

∴ So the LCM of the given numbers is 7 x 32 x 841 = 188384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188384

Therefore, the GCF of Fractions 71/224,3432/5887 is 1/188384

Least Common Multiple of 224,5887 with GCF Formula

Least Common Multiple of 224,5887 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 224,5887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,5887) = 7

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

GCF(224,5887) x common factors =7 x 1 = 7

LCM(224,5887) = ( 224 × 5887 ) / 7

LCM(224,5887) = 1318688 / 7

LCM(224,5887) = 188384


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 71/224, 3432/5887

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 71/224, 3432/5887?

Answer: GCF of Numerators as per given numbers 71/224, 3432/5887 is

GCF of Numerators i.e. for 71,3432 is 1

LCM of denominators i.e. for 224,5887 is 188384.

Thus, GCF of Fractions is 1/188384.Finally, GCF of Fractions for 71/224, 3432/5887 is 1/188384.