Greatest Common Factor of 4634/625, 6194/7833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4634/625, 6194/7833

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 4634/625,6194/7833

Given fractions are 4634/625,6194/7833

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 4634,6194

Greatest Common Factor of Numerators i.e. GCF of 4634,6194 is 2 .

LCM of Denominators means LCM of 625,7833 as per the given fractions.

LCM of 625,7833 is 4895625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4634,6194

GCF of Fractions 4634/625,6194/7833 is 2/4895625

2 4634, 6194
2317, 3097

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

Greatest Common Factor of 4634,6194 By Matching Biggest Common Factor Method

Greatest Common Factor of 4634,6194 By Matching Biggest Common Factor Method

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

Factors of 6194

List of positive integer factors of 6194 that divides 6194 without a remainder.

1,2,19,38,163,326,3097,6194

Greatest Common Factor

We found the factors 4634,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 4634,6194 is 2.

Lets's calculate LCM of 625,7833

Given numbers has no common factors except 1. So, there LCM is their product i.e 4895625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4895625

Therefore, the GCF of Fractions 4634/625,6194/7833 is 2/4895625

Least Common Multiple of 625,7833 with GCF Formula

Least Common Multiple of 625,7833 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 625,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,7833) = 1

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

GCF(625,7833) x common factors =1 x 1 = 1

LCM(625,7833) = ( 625 × 7833 ) / 1

LCM(625,7833) = 4895625 / 1

LCM(625,7833) = 4895625


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 4634/625, 6194/7833

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 4634/625, 6194/7833?

Answer: GCF of Numerators as per given numbers 4634/625, 6194/7833 is

GCF of Numerators i.e. for 4634,6194 is 2

LCM of denominators i.e. for 625,7833 is 4895625.

Thus, GCF of Fractions is 2/4895625.Finally, GCF of Fractions for 4634/625, 6194/7833 is 2/4895625.