Greatest Common Factor of 2425/893, 3298/8356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2425/893, 3298/8356

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 2425/893,3298/8356

Given fractions are 2425/893,3298/8356

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 2425,3298

Greatest Common Factor of Numerators i.e. GCF of 2425,3298 is 97 .

LCM of Denominators means LCM of 893,8356 as per the given fractions.

LCM of 893,8356 is 7461908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2425,3298

GCF of Fractions 2425/893,3298/8356 is 97/7461908

97 2425, 3298
25, 34

∴ So the GCF of the given numbers is 97 = 97

Greatest Common Factor of 2425,3298 By Matching Biggest Common Factor Method

Greatest Common Factor of 2425,3298 By Matching Biggest Common Factor Method

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Greatest Common Factor

We found the factors 2425,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,3298 is 97.


Lets's calculate LCM of 893,8356

Given numbers has no common factors except 1. So, there LCM is their product i.e 7461908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/7461908

Therefore, the GCF of Fractions 2425/893,3298/8356 is 97/7461908

Least Common Multiple of 893,8356 with GCF Formula

Least Common Multiple of 893,8356 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 893,8356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,8356) = 1

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

GCF(893,8356) x common factors =1 x 1 = 1

LCM(893,8356) = ( 893 × 8356 ) / 1

LCM(893,8356) = 7461908 / 1

LCM(893,8356) = 7461908


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2425/893, 3298/8356

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 2425/893, 3298/8356?

Answer: GCF of Numerators as per given numbers 2425/893, 3298/8356 is

GCF of Numerators i.e. for 2425,3298 is 97

LCM of denominators i.e. for 893,8356 is 7461908.

Thus, GCF of Fractions is 97/7461908.Finally, GCF of Fractions for 2425/893, 3298/8356 is 97/7461908.