Greatest Common Factor of 4171/296, 4421/5428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4171/296, 4421/5428

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 4171/296,4421/5428

Given fractions are 4171/296,4421/5428

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 4171,4421

Greatest Common Factor of Numerators i.e. GCF of 4171,4421 is 1 .

LCM of Denominators means LCM of 296,5428 as per the given fractions.

LCM of 296,5428 is 401672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4171,4421

GCF of Fractions 4171/296,4421/5428 is 1/401672

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

Greatest Common Factor of 4171,4421 By Matching Biggest Common Factor Method

Greatest Common Factor of 4171,4421 By Matching Biggest Common Factor Method

Factors of 4171

List of positive integer factors of 4171 that divides 4171 without a remainder.

1,43,97,4171

Factors of 4421

List of positive integer factors of 4421 that divides 4421 without a remainder.

1,4421

Greatest Common Factor

We found the factors 4171,4421 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,4421 is 1.

Lets's calculate LCM of 296,5428

2 296, 5428
2 148, 2714
74, 1357

∴ So the LCM of the given numbers is 2 x 2 x 74 x 1357 = 401672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401672

Therefore, the GCF of Fractions 4171/296,4421/5428 is 1/401672

Least Common Multiple of 296,5428 with GCF Formula

Least Common Multiple of 296,5428 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 296,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,5428) = 4

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

GCF(296,5428) x common factors =4 x 1 = 4

LCM(296,5428) = ( 296 × 5428 ) / 4

LCM(296,5428) = 1606688 / 4

LCM(296,5428) = 401672


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 4171/296, 4421/5428

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 4171/296, 4421/5428?

Answer: GCF of Numerators as per given numbers 4171/296, 4421/5428 is

GCF of Numerators i.e. for 4171,4421 is 1

LCM of denominators i.e. for 296,5428 is 401672.

Thus, GCF of Fractions is 1/401672.Finally, GCF of Fractions for 4171/296, 4421/5428 is 1/401672.