Greatest Common Factor of 708/49, 466/38, 866/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/49, 466/38, 866/14

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 708/49,466/38,866/14

Given fractions are 708/49,466/38,866/14

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 708,466,866

Greatest Common Factor of Numerators i.e. GCF of 708,466,866 is 2 .

LCM of Denominators means LCM of 49,38,14 as per the given fractions.

LCM of 49,38,14 is 1862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,466,866

GCF of Fractions 708/49,466/38,866/14 is 2/1862

2 708, 466, 866
354, 233, 433

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

Greatest Common Factor of 708,466,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,466,866 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 708,466,866 . The biggest common factor number is the GCF number.
So the greatest common factor 708,466,866 is 2.

Lets's calculate LCM of 49,38,14

2 49, 38, 14
7 49, 19, 7
1, 19, 7

∴ So the LCM of the given numbers is 2 x 7 x 1 x 19 x 7 = 1862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1862

Therefore, the GCF of Fractions 708/49,466/38,866/14 is 2/1862

Least Common Multiple of 49,38,14 with GCF Formula

Least Common Multiple of 49,38,14 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 49,38,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,38,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(49,38,14) x common factors =1 x 14 = 14

LCM(49,38,14) = ( 49 × 38 × 14 ) / 14

LCM(49,38,14) = 26068 / 14

LCM(49,38,14) = 1862


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 708/49, 466/38, 866/14

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 708/49, 466/38, 866/14?

Answer: GCF of Numerators as per given numbers 708/49, 466/38, 866/14 is

GCF of Numerators i.e. for 708,466,866 is 2

LCM of denominators i.e. for 49,38,14 is 1862.

Thus, GCF of Fractions is 2/1862.Finally, GCF of Fractions for 708/49, 466/38, 866/14 is 2/1862.