Greatest Common Factor of 917/18, 805/75, 710/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 917/18, 805/75, 710/586

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 917/18,805/75,710/586

Given fractions are 917/18,805/75,710/586

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 917,805,710

Greatest Common Factor of Numerators i.e. GCF of 917,805,710 is 1 .

LCM of Denominators means LCM of 18,75,586 as per the given fractions.

LCM of 18,75,586 is 131850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 917,805,710

GCF of Fractions 917/18,805/75,710/586 is 1/131850

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

Greatest Common Factor of 917,805,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,805,710 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 917,805,710 . The biggest common factor number is the GCF number.
So the greatest common factor 917,805,710 is 1.

Lets's calculate LCM of 18,75,586

2 18, 75, 586
3 9, 75, 293
3, 25, 293

∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 293 = 131850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131850

Therefore, the GCF of Fractions 917/18,805/75,710/586 is 1/131850

Least Common Multiple of 18,75,586 with GCF Formula

Least Common Multiple of 18,75,586 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 18,75,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,75,586) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,75,586) x common factors =1 x 6 = 6

LCM(18,75,586) = ( 18 × 75 × 586 ) / 6

LCM(18,75,586) = 791100 / 6

LCM(18,75,586) = 131850


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 917/18, 805/75, 710/586

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 917/18, 805/75, 710/586?

Answer: GCF of Numerators as per given numbers 917/18, 805/75, 710/586 is

GCF of Numerators i.e. for 917,805,710 is 1

LCM of denominators i.e. for 18,75,586 is 131850.

Thus, GCF of Fractions is 1/131850.Finally, GCF of Fractions for 917/18, 805/75, 710/586 is 1/131850.