Greatest Common Factor of 86/705, 25/297, 680/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/705, 25/297, 680/314

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 86/705,25/297,680/314

Given fractions are 86/705,25/297,680/314

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 86,25,680

Greatest Common Factor of Numerators i.e. GCF of 86,25,680 is 1 .

LCM of Denominators means LCM of 705,297,314 as per the given fractions.

LCM of 705,297,314 is 21915630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,25,680

GCF of Fractions 86/705,25/297,680/314 is 1/21915630

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

Greatest Common Factor of 86,25,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,25,680 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 86,25,680 . The biggest common factor number is the GCF number.
So the greatest common factor 86,25,680 is 1.

Lets's calculate LCM of 705,297,314

3 705, 297, 314
235, 99, 314

∴ So the LCM of the given numbers is 3 x 235 x 99 x 314 = 21915630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21915630

Therefore, the GCF of Fractions 86/705,25/297,680/314 is 1/21915630

Least Common Multiple of 705,297,314 with GCF Formula

Least Common Multiple of 705,297,314 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 705,297,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,297,314) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(705,297,314) x common factors =1 x 3 = 3

LCM(705,297,314) = ( 705 × 297 × 314 ) / 3

LCM(705,297,314) = 65746890 / 3

LCM(705,297,314) = 21915630


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 86/705, 25/297, 680/314

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 86/705, 25/297, 680/314?

Answer: GCF of Numerators as per given numbers 86/705, 25/297, 680/314 is

GCF of Numerators i.e. for 86,25,680 is 1

LCM of denominators i.e. for 705,297,314 is 21915630.

Thus, GCF of Fractions is 1/21915630.Finally, GCF of Fractions for 86/705, 25/297, 680/314 is 1/21915630.