Greatest Common Factor of 139/15, 234/24, 223/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/15, 234/24, 223/546

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 139/15,234/24,223/546

Given fractions are 139/15,234/24,223/546

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 139,234,223

Greatest Common Factor of Numerators i.e. GCF of 139,234,223 is 1 .

LCM of Denominators means LCM of 15,24,546 as per the given fractions.

LCM of 15,24,546 is 10920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,234,223

GCF of Fractions 139/15,234/24,223/546 is 1/10920

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 139,234,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,234,223 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 139,234,223 . The biggest common factor number is the GCF number.
So the greatest common factor 139,234,223 is 1.

Lets's calculate LCM of 15,24,546

2 15, 24, 546
3 15, 12, 273
5, 4, 91

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 91 = 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10920

Therefore, the GCF of Fractions 139/15,234/24,223/546 is 1/10920

Least Common Multiple of 15,24,546 with GCF Formula

Least Common Multiple of 15,24,546 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 15,24,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,24,546) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(15,24,546) x common factors =3 x 6 = 18

LCM(15,24,546) = ( 15 × 24 × 546 ) / 18

LCM(15,24,546) = 196560 / 18

LCM(15,24,546) = 10920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 139/15, 234/24, 223/546

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 139/15, 234/24, 223/546?

Answer: GCF of Numerators as per given numbers 139/15, 234/24, 223/546 is

GCF of Numerators i.e. for 139,234,223 is 1

LCM of denominators i.e. for 15,24,546 is 10920.

Thus, GCF of Fractions is 1/10920.Finally, GCF of Fractions for 139/15, 234/24, 223/546 is 1/10920.