Greatest Common Factor of 794/23, 299/49, 430/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 794/23, 299/49, 430/70

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 794/23,299/49,430/70

Given fractions are 794/23,299/49,430/70

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 794,299,430

Greatest Common Factor of Numerators i.e. GCF of 794,299,430 is 1 .

LCM of Denominators means LCM of 23,49,70 as per the given fractions.

LCM of 23,49,70 is 11270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 794,299,430

GCF of Fractions 794/23,299/49,430/70 is 1/11270

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

Greatest Common Factor of 794,299,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,299,430 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 794,299,430 . The biggest common factor number is the GCF number.
So the greatest common factor 794,299,430 is 1.

Lets's calculate LCM of 23,49,70

7 23, 49, 70
23, 7, 10

∴ So the LCM of the given numbers is 7 x 23 x 7 x 10 = 11270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11270

Therefore, the GCF of Fractions 794/23,299/49,430/70 is 1/11270

Least Common Multiple of 23,49,70 with GCF Formula

Least Common Multiple of 23,49,70 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 23,49,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,49,70) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(23,49,70) x common factors =1 x 7 = 7

LCM(23,49,70) = ( 23 × 49 × 70 ) / 7

LCM(23,49,70) = 78890 / 7

LCM(23,49,70) = 11270


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 794/23, 299/49, 430/70

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 794/23, 299/49, 430/70?

Answer: GCF of Numerators as per given numbers 794/23, 299/49, 430/70 is

GCF of Numerators i.e. for 794,299,430 is 1

LCM of denominators i.e. for 23,49,70 is 11270.

Thus, GCF of Fractions is 1/11270.Finally, GCF of Fractions for 794/23, 299/49, 430/70 is 1/11270.