Greatest Common Factor of 494/14, 545/49, 859/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 494/14, 545/49, 859/29

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 494/14,545/49,859/29

Given fractions are 494/14,545/49,859/29

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 494,545,859

Greatest Common Factor of Numerators i.e. GCF of 494,545,859 is 1 .

LCM of Denominators means LCM of 14,49,29 as per the given fractions.

LCM of 14,49,29 is 2842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,545,859

GCF of Fractions 494/14,545/49,859/29 is 1/2842

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

Greatest Common Factor of 494,545,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,545,859 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 494,545,859 . The biggest common factor number is the GCF number.
So the greatest common factor 494,545,859 is 1.

Lets's calculate LCM of 14,49,29

7 14, 49, 29
2, 7, 29

∴ So the LCM of the given numbers is 7 x 2 x 7 x 29 = 2842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2842

Therefore, the GCF of Fractions 494/14,545/49,859/29 is 1/2842

Least Common Multiple of 14,49,29 with GCF Formula

Least Common Multiple of 14,49,29 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 14,49,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,49,29) = 1

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

GCF(14,49,29) x common factors =1 x 7 = 7

LCM(14,49,29) = ( 14 × 49 × 29 ) / 7

LCM(14,49,29) = 19894 / 7

LCM(14,49,29) = 2842


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 494/14, 545/49, 859/29

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 494/14, 545/49, 859/29?

Answer: GCF of Numerators as per given numbers 494/14, 545/49, 859/29 is

GCF of Numerators i.e. for 494,545,859 is 1

LCM of denominators i.e. for 14,49,29 is 2842.

Thus, GCF of Fractions is 1/2842.Finally, GCF of Fractions for 494/14, 545/49, 859/29 is 1/2842.