Greatest Common Factor of 306/702, 214/708, 314/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/702, 214/708, 314/867

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 306/702,214/708,314/867

Given fractions are 306/702,214/708,314/867

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 306,214,314

Greatest Common Factor of Numerators i.e. GCF of 306,214,314 is 2 .

LCM of Denominators means LCM of 702,708,867 as per the given fractions.

LCM of 702,708,867 is 23939604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,214,314

GCF of Fractions 306/702,214/708,314/867 is 2/23939604

2 306, 214, 314
153, 107, 157

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

Greatest Common Factor of 306,214,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,214,314 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 306,214,314 . The biggest common factor number is the GCF number.
So the greatest common factor 306,214,314 is 2.

Lets's calculate LCM of 702,708,867

2 702, 708, 867
3 351, 354, 867
117, 118, 289

∴ So the LCM of the given numbers is 2 x 3 x 117 x 118 x 289 = 23939604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23939604

Therefore, the GCF of Fractions 306/702,214/708,314/867 is 2/23939604

Least Common Multiple of 702,708,867 with GCF Formula

Least Common Multiple of 702,708,867 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 702,708,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,708,867) = 3

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

GCF(702,708,867) x common factors =3 x 6 = 18

LCM(702,708,867) = ( 702 × 708 × 867 ) / 18

LCM(702,708,867) = 430912872 / 18

LCM(702,708,867) = 23939604


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 306/702, 214/708, 314/867

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 306/702, 214/708, 314/867?

Answer: GCF of Numerators as per given numbers 306/702, 214/708, 314/867 is

GCF of Numerators i.e. for 306,214,314 is 2

LCM of denominators i.e. for 702,708,867 is 23939604.

Thus, GCF of Fractions is 2/23939604.Finally, GCF of Fractions for 306/702, 214/708, 314/867 is 2/23939604.