Greatest Common Factor of 299/31, 521/24, 686/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/31, 521/24, 686/340

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 299/31,521/24,686/340

Given fractions are 299/31,521/24,686/340

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 299,521,686

Greatest Common Factor of Numerators i.e. GCF of 299,521,686 is 1 .

LCM of Denominators means LCM of 31,24,340 as per the given fractions.

LCM of 31,24,340 is 63240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,521,686

GCF of Fractions 299/31,521/24,686/340 is 1/63240

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

Greatest Common Factor of 299,521,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,521,686 By Matching Biggest Common Factor Method

Factors of 299

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

1,13,23,299

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 299,521,686 . The biggest common factor number is the GCF number.
So the greatest common factor 299,521,686 is 1.

Lets's calculate LCM of 31,24,340

2 31, 24, 340
2 31, 12, 170
31, 6, 85

∴ So the LCM of the given numbers is 2 x 2 x 31 x 6 x 85 = 63240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63240

Therefore, the GCF of Fractions 299/31,521/24,686/340 is 1/63240

Least Common Multiple of 31,24,340 with GCF Formula

Least Common Multiple of 31,24,340 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 31,24,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,24,340) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,24,340) x common factors =1 x 4 = 4

LCM(31,24,340) = ( 31 × 24 × 340 ) / 4

LCM(31,24,340) = 252960 / 4

LCM(31,24,340) = 63240


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 299/31, 521/24, 686/340

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 299/31, 521/24, 686/340?

Answer: GCF of Numerators as per given numbers 299/31, 521/24, 686/340 is

GCF of Numerators i.e. for 299,521,686 is 1

LCM of denominators i.e. for 31,24,340 is 63240.

Thus, GCF of Fractions is 1/63240.Finally, GCF of Fractions for 299/31, 521/24, 686/340 is 1/63240.