Greatest Common Factor of 391/840, 1311/1708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/840, 1311/1708

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 391/840,1311/1708

Given fractions are 391/840,1311/1708

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 391,1311

Greatest Common Factor of Numerators i.e. GCF of 391,1311 is 23 .

LCM of Denominators means LCM of 840,1708 as per the given fractions.

LCM of 840,1708 is 51240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,1311

GCF of Fractions 391/840,1311/1708 is 23/51240

23 391, 1311
17, 57

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

Greatest Common Factor of 391,1311 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,1311 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 1311

List of positive integer factors of 1311 that divides 1311 without a remainder.

1,3,19,23,57,69,437,1311

Greatest Common Factor

We found the factors 391,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 391,1311 is 23.

Lets's calculate LCM of 840,1708

2 840, 1708
2 420, 854
7 210, 427
30, 61

∴ So the LCM of the given numbers is 2 x 2 x 7 x 30 x 61 = 51240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/51240

Therefore, the GCF of Fractions 391/840,1311/1708 is 23/51240

Least Common Multiple of 840,1708 with GCF Formula

Least Common Multiple of 840,1708 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 840,1708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,1708) = 28

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

GCF(840,1708) x common factors =28 x 1 = 28

LCM(840,1708) = ( 840 × 1708 ) / 28

LCM(840,1708) = 1434720 / 28

LCM(840,1708) = 51240


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 391/840, 1311/1708

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 391/840, 1311/1708?

Answer: GCF of Numerators as per given numbers 391/840, 1311/1708 is

GCF of Numerators i.e. for 391,1311 is 23

LCM of denominators i.e. for 840,1708 is 51240.

Thus, GCF of Fractions is 23/51240.Finally, GCF of Fractions for 391/840, 1311/1708 is 23/51240.