Greatest Common Factor of 2908/208, 2846/4202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2908/208, 2846/4202

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 2908/208,2846/4202

Given fractions are 2908/208,2846/4202

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 2908,2846

Greatest Common Factor of Numerators i.e. GCF of 2908,2846 is 2 .

LCM of Denominators means LCM of 208,4202 as per the given fractions.

LCM of 208,4202 is 437008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2908,2846

GCF of Fractions 2908/208,2846/4202 is 2/437008

2 2908, 2846
1454, 1423

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2908,2846 By Matching Biggest Common Factor Method

Greatest Common Factor of 2908,2846 By Matching Biggest Common Factor Method

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1,2,4,727,1454,2908

Factors of 2846

List of positive integer factors of 2846 that divides 2846 without a remainder.

1,2,1423,2846

Greatest Common Factor

We found the factors 2908,2846 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,2846 is 2.

Lets's calculate LCM of 208,4202

2 208, 4202
104, 2101

∴ So the LCM of the given numbers is 2 x 104 x 2101 = 437008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/437008

Therefore, the GCF of Fractions 2908/208,2846/4202 is 2/437008

Least Common Multiple of 208,4202 with GCF Formula

Least Common Multiple of 208,4202 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 208,4202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,4202) = 2

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

GCF(208,4202) x common factors =2 x 1 = 2

LCM(208,4202) = ( 208 × 4202 ) / 2

LCM(208,4202) = 874016 / 2

LCM(208,4202) = 437008


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 2908/208, 2846/4202

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 2908/208, 2846/4202?

Answer: GCF of Numerators as per given numbers 2908/208, 2846/4202 is

GCF of Numerators i.e. for 2908,2846 is 2

LCM of denominators i.e. for 208,4202 is 437008.

Thus, GCF of Fractions is 2/437008.Finally, GCF of Fractions for 2908/208, 2846/4202 is 2/437008.