Greatest Common Factor of 3428/846, 5255/4910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3428/846, 5255/4910

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 3428/846,5255/4910

Given fractions are 3428/846,5255/4910

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 3428,5255

Greatest Common Factor of Numerators i.e. GCF of 3428,5255 is 1 .

LCM of Denominators means LCM of 846,4910 as per the given fractions.

LCM of 846,4910 is 2076930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3428,5255

GCF of Fractions 3428/846,5255/4910 is 1/2076930

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

Greatest Common Factor of 3428,5255 By Matching Biggest Common Factor Method

Greatest Common Factor of 3428,5255 By Matching Biggest Common Factor Method

Factors of 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1,2,4,857,1714,3428

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1,5,1051,5255

Greatest Common Factor

We found the factors 3428,5255 . The biggest common factor number is the GCF number.
So the greatest common factor 3428,5255 is 1.

Lets's calculate LCM of 846,4910

2 846, 4910
423, 2455

∴ So the LCM of the given numbers is 2 x 423 x 2455 = 2076930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2076930

Therefore, the GCF of Fractions 3428/846,5255/4910 is 1/2076930

Least Common Multiple of 846,4910 with GCF Formula

Least Common Multiple of 846,4910 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 846,4910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,4910) = 2

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

GCF(846,4910) x common factors =2 x 1 = 2

LCM(846,4910) = ( 846 × 4910 ) / 2

LCM(846,4910) = 4153860 / 2

LCM(846,4910) = 2076930


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 3428/846, 5255/4910

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 3428/846, 5255/4910?

Answer: GCF of Numerators as per given numbers 3428/846, 5255/4910 is

GCF of Numerators i.e. for 3428,5255 is 1

LCM of denominators i.e. for 846,4910 is 2076930.

Thus, GCF of Fractions is 1/2076930.Finally, GCF of Fractions for 3428/846, 5255/4910 is 1/2076930.