Greatest Common Factor of 7654/98, 3399/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7654/98, 3399/704

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 7654/98,3399/704

Given fractions are 7654/98,3399/704

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 7654,3399

Greatest Common Factor of Numerators i.e. GCF of 7654,3399 is 1 .

LCM of Denominators means LCM of 98,704 as per the given fractions.

LCM of 98,704 is 34496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7654,3399

GCF of Fractions 7654/98,3399/704 is 1/34496

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

Greatest Common Factor of 7654,3399 By Matching Biggest Common Factor Method

Greatest Common Factor of 7654,3399 By Matching Biggest Common Factor Method

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1,2,43,86,89,178,3827,7654

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

Greatest Common Factor

We found the factors 7654,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 7654,3399 is 1.

Lets's calculate LCM of 98,704

2 98, 704
49, 352

∴ So the LCM of the given numbers is 2 x 49 x 352 = 34496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34496

Therefore, the GCF of Fractions 7654/98,3399/704 is 1/34496

Least Common Multiple of 98,704 with GCF Formula

Least Common Multiple of 98,704 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 98,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,704) = 2

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

GCF(98,704) x common factors =2 x 1 = 2

LCM(98,704) = ( 98 × 704 ) / 2

LCM(98,704) = 68992 / 2

LCM(98,704) = 34496


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 7654/98, 3399/704

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 7654/98, 3399/704?

Answer: GCF of Numerators as per given numbers 7654/98, 3399/704 is

GCF of Numerators i.e. for 7654,3399 is 1

LCM of denominators i.e. for 98,704 is 34496.

Thus, GCF of Fractions is 1/34496.Finally, GCF of Fractions for 7654/98, 3399/704 is 1/34496.