Greatest Common Factor of 4213/82, 3542/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4213/82, 3542/288

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 4213/82,3542/288

Given fractions are 4213/82,3542/288

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 4213,3542

Greatest Common Factor of Numerators i.e. GCF of 4213,3542 is 11 .

LCM of Denominators means LCM of 82,288 as per the given fractions.

LCM of 82,288 is 11808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4213,3542

GCF of Fractions 4213/82,3542/288 is 11/11808

11 4213, 3542
383, 322

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4213,3542 By Matching Biggest Common Factor Method

Greatest Common Factor of 4213,3542 By Matching Biggest Common Factor Method

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1,11,383,4213

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Greatest Common Factor

We found the factors 4213,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 4213,3542 is 11.

Lets's calculate LCM of 82,288

2 82, 288
41, 144

∴ So the LCM of the given numbers is 2 x 41 x 144 = 11808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11808

Therefore, the GCF of Fractions 4213/82,3542/288 is 11/11808

Least Common Multiple of 82,288 with GCF Formula

Least Common Multiple of 82,288 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 82,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,288) = 2

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

GCF(82,288) x common factors =2 x 1 = 2

LCM(82,288) = ( 82 × 288 ) / 2

LCM(82,288) = 23616 / 2

LCM(82,288) = 11808


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 4213/82, 3542/288

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 4213/82, 3542/288?

Answer: GCF of Numerators as per given numbers 4213/82, 3542/288 is

GCF of Numerators i.e. for 4213,3542 is 11

LCM of denominators i.e. for 82,288 is 11808.

Thus, GCF of Fractions is 11/11808.Finally, GCF of Fractions for 4213/82, 3542/288 is 11/11808.