Greatest Common Factor of 6898/190, 4126/3338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6898/190, 4126/3338

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 6898/190,4126/3338

Given fractions are 6898/190,4126/3338

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 6898,4126

Greatest Common Factor of Numerators i.e. GCF of 6898,4126 is 2 .

LCM of Denominators means LCM of 190,3338 as per the given fractions.

LCM of 190,3338 is 317110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6898,4126

GCF of Fractions 6898/190,4126/3338 is 2/317110

2 6898, 4126
3449, 2063

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

Greatest Common Factor of 6898,4126 By Matching Biggest Common Factor Method

Greatest Common Factor of 6898,4126 By Matching Biggest Common Factor Method

Factors of 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1,2,3449,6898

Factors of 4126

List of positive integer factors of 4126 that divides 4126 without a remainder.

1,2,2063,4126

Greatest Common Factor

We found the factors 6898,4126 . The biggest common factor number is the GCF number.
So the greatest common factor 6898,4126 is 2.

Lets's calculate LCM of 190,3338

2 190, 3338
95, 1669

∴ So the LCM of the given numbers is 2 x 95 x 1669 = 317110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317110

Therefore, the GCF of Fractions 6898/190,4126/3338 is 2/317110

Least Common Multiple of 190,3338 with GCF Formula

Least Common Multiple of 190,3338 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 190,3338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,3338) = 2

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

GCF(190,3338) x common factors =2 x 1 = 2

LCM(190,3338) = ( 190 × 3338 ) / 2

LCM(190,3338) = 634220 / 2

LCM(190,3338) = 317110


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 6898/190, 4126/3338

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 6898/190, 4126/3338?

Answer: GCF of Numerators as per given numbers 6898/190, 4126/3338 is

GCF of Numerators i.e. for 6898,4126 is 2

LCM of denominators i.e. for 190,3338 is 317110.

Thus, GCF of Fractions is 2/317110.Finally, GCF of Fractions for 6898/190, 4126/3338 is 2/317110.