Greatest Common Factor of 46/258, 989/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/258, 989/354

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 46/258,989/354

Given fractions are 46/258,989/354

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 46,989

Greatest Common Factor of Numerators i.e. GCF of 46,989 is 23 .

LCM of Denominators means LCM of 258,354 as per the given fractions.

LCM of 258,354 is 15222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,989

GCF of Fractions 46/258,989/354 is 23/15222

23 46, 989
2, 43

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 46,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,989 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 46,989 . The biggest common factor number is the GCF number.
So the greatest common factor 46,989 is 23.

Lets's calculate LCM of 258,354

2 258, 354
3 129, 177
43, 59

∴ So the LCM of the given numbers is 2 x 3 x 43 x 59 = 15222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/15222

Therefore, the GCF of Fractions 46/258,989/354 is 23/15222

Least Common Multiple of 258,354 with GCF Formula

Least Common Multiple of 258,354 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 258,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,354) = 6

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

GCF(258,354) x common factors =6 x 1 = 6

LCM(258,354) = ( 258 × 354 ) / 6

LCM(258,354) = 91332 / 6

LCM(258,354) = 15222


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 46/258, 989/354

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 46/258, 989/354?

Answer: GCF of Numerators as per given numbers 46/258, 989/354 is

GCF of Numerators i.e. for 46,989 is 23

LCM of denominators i.e. for 258,354 is 15222.

Thus, GCF of Fractions is 23/15222.Finally, GCF of Fractions for 46/258, 989/354 is 23/15222.