Greatest Common Factor of 9262/278, 4098/1474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9262/278, 4098/1474

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 9262/278,4098/1474

Given fractions are 9262/278,4098/1474

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 9262,4098

Greatest Common Factor of Numerators i.e. GCF of 9262,4098 is 2 .

LCM of Denominators means LCM of 278,1474 as per the given fractions.

LCM of 278,1474 is 204886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9262,4098

GCF of Fractions 9262/278,4098/1474 is 2/204886

2 9262, 4098
4631, 2049

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

Greatest Common Factor of 9262,4098 By Matching Biggest Common Factor Method

Greatest Common Factor of 9262,4098 By Matching Biggest Common Factor Method

Factors of 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1,2,11,22,421,842,4631,9262

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1,2,3,6,683,1366,2049,4098

Greatest Common Factor

We found the factors 9262,4098 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,4098 is 2.

Lets's calculate LCM of 278,1474

2 278, 1474
139, 737

∴ So the LCM of the given numbers is 2 x 139 x 737 = 204886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204886

Therefore, the GCF of Fractions 9262/278,4098/1474 is 2/204886

Least Common Multiple of 278,1474 with GCF Formula

Least Common Multiple of 278,1474 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 278,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,1474) = 2

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

GCF(278,1474) x common factors =2 x 1 = 2

LCM(278,1474) = ( 278 × 1474 ) / 2

LCM(278,1474) = 409772 / 2

LCM(278,1474) = 204886


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 9262/278, 4098/1474

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 9262/278, 4098/1474?

Answer: GCF of Numerators as per given numbers 9262/278, 4098/1474 is

GCF of Numerators i.e. for 9262,4098 is 2

LCM of denominators i.e. for 278,1474 is 204886.

Thus, GCF of Fractions is 2/204886.Finally, GCF of Fractions for 9262/278, 4098/1474 is 2/204886.