Greatest Common Factor of 6098/67, 6458/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6098/67, 6458/351

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 6098/67,6458/351

Given fractions are 6098/67,6458/351

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 6098,6458

Greatest Common Factor of Numerators i.e. GCF of 6098,6458 is 2 .

LCM of Denominators means LCM of 67,351 as per the given fractions.

LCM of 67,351 is 23517 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6098,6458

GCF of Fractions 6098/67,6458/351 is 2/23517

2 6098, 6458
3049, 3229

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

Greatest Common Factor of 6098,6458 By Matching Biggest Common Factor Method

Greatest Common Factor of 6098,6458 By Matching Biggest Common Factor Method

Factors of 6098

List of positive integer factors of 6098 that divides 6098 without a remainder.

1,2,3049,6098

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1,2,3229,6458

Greatest Common Factor

We found the factors 6098,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 6098,6458 is 2.

Lets's calculate LCM of 67,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 23517

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23517

Therefore, the GCF of Fractions 6098/67,6458/351 is 2/23517

Least Common Multiple of 67,351 with GCF Formula

Least Common Multiple of 67,351 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 67,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,351) = 1

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

GCF(67,351) x common factors =1 x 1 = 1

LCM(67,351) = ( 67 × 351 ) / 1

LCM(67,351) = 23517 / 1

LCM(67,351) = 23517


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 6098/67, 6458/351

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 6098/67, 6458/351?

Answer: GCF of Numerators as per given numbers 6098/67, 6458/351 is

GCF of Numerators i.e. for 6098,6458 is 2

LCM of denominators i.e. for 67,351 is 23517.

Thus, GCF of Fractions is 2/23517.Finally, GCF of Fractions for 6098/67, 6458/351 is 2/23517.