Greatest Common Factor of 23/434, 4370/9486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/434, 4370/9486

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 23/434,4370/9486

Given fractions are 23/434,4370/9486

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 23,4370

Greatest Common Factor of Numerators i.e. GCF of 23,4370 is 23 .

LCM of Denominators means LCM of 434,9486 as per the given fractions.

LCM of 434,9486 is 66402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,4370

GCF of Fractions 23/434,4370/9486 is 23/66402

23 23, 4370
1, 190

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

Greatest Common Factor of 23,4370 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,4370 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Greatest Common Factor

We found the factors 23,4370 . The biggest common factor number is the GCF number.
So the greatest common factor 23,4370 is 23.

Lets's calculate LCM of 434,9486

2 434, 9486
31 217, 4743
7, 153

∴ So the LCM of the given numbers is 2 x 31 x 7 x 153 = 66402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/66402

Therefore, the GCF of Fractions 23/434,4370/9486 is 23/66402

Least Common Multiple of 434,9486 with GCF Formula

Least Common Multiple of 434,9486 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 434,9486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,9486) = 62

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

GCF(434,9486) x common factors =62 x 1 = 62

LCM(434,9486) = ( 434 × 9486 ) / 62

LCM(434,9486) = 4116924 / 62

LCM(434,9486) = 66402


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 23/434, 4370/9486

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 23/434, 4370/9486?

Answer: GCF of Numerators as per given numbers 23/434, 4370/9486 is

GCF of Numerators i.e. for 23,4370 is 23

LCM of denominators i.e. for 434,9486 is 66402.

Thus, GCF of Fractions is 23/66402.Finally, GCF of Fractions for 23/434, 4370/9486 is 23/66402.