Greatest Common Factor of 898/392, 5486/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/392, 5486/204

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 898/392,5486/204

Given fractions are 898/392,5486/204

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 898,5486

Greatest Common Factor of Numerators i.e. GCF of 898,5486 is 2 .

LCM of Denominators means LCM of 392,204 as per the given fractions.

LCM of 392,204 is 19992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,5486

GCF of Fractions 898/392,5486/204 is 2/19992

2 898, 5486
449, 2743

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

Greatest Common Factor of 898,5486 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,5486 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1,2,13,26,211,422,2743,5486

Greatest Common Factor

We found the factors 898,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 898,5486 is 2.

Lets's calculate LCM of 392,204

2 392, 204
2 196, 102
98, 51

∴ So the LCM of the given numbers is 2 x 2 x 98 x 51 = 19992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19992

Therefore, the GCF of Fractions 898/392,5486/204 is 2/19992

Least Common Multiple of 392,204 with GCF Formula

Least Common Multiple of 392,204 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 392,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,204) = 4

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

GCF(392,204) x common factors =4 x 1 = 4

LCM(392,204) = ( 392 × 204 ) / 4

LCM(392,204) = 79968 / 4

LCM(392,204) = 19992


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 898/392, 5486/204

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 898/392, 5486/204?

Answer: GCF of Numerators as per given numbers 898/392, 5486/204 is

GCF of Numerators i.e. for 898,5486 is 2

LCM of denominators i.e. for 392,204 is 19992.

Thus, GCF of Fractions is 2/19992.Finally, GCF of Fractions for 898/392, 5486/204 is 2/19992.