Greatest Common Factor of 710/285, 242/817, 282/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/285, 242/817, 282/174

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 710/285,242/817,282/174

Given fractions are 710/285,242/817,282/174

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 710,242,282

Greatest Common Factor of Numerators i.e. GCF of 710,242,282 is 2 .

LCM of Denominators means LCM of 285,817,174 as per the given fractions.

LCM of 285,817,174 is 710790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,242,282

GCF of Fractions 710/285,242/817,282/174 is 2/710790

2 710, 242, 282
355, 121, 141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 710,242,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,242,282 By Matching Biggest Common Factor Method

Factors of 710

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

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

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 710,242,282 . The biggest common factor number is the GCF number.
So the greatest common factor 710,242,282 is 2.

Lets's calculate LCM of 285,817,174

3 285, 817, 174
19 95, 817, 58
5, 43, 58

∴ So the LCM of the given numbers is 3 x 19 x 5 x 43 x 58 = 710790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/710790

Therefore, the GCF of Fractions 710/285,242/817,282/174 is 2/710790

Least Common Multiple of 285,817,174 with GCF Formula

Least Common Multiple of 285,817,174 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 285,817,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,817,174) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(285,817,174) x common factors =1 x 57 = 57

LCM(285,817,174) = ( 285 × 817 × 174 ) / 57

LCM(285,817,174) = 40515030 / 57

LCM(285,817,174) = 710790


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 710/285, 242/817, 282/174

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 710/285, 242/817, 282/174?

Answer: GCF of Numerators as per given numbers 710/285, 242/817, 282/174 is

GCF of Numerators i.e. for 710,242,282 is 2

LCM of denominators i.e. for 285,817,174 is 710790.

Thus, GCF of Fractions is 2/710790.Finally, GCF of Fractions for 710/285, 242/817, 282/174 is 2/710790.