Greatest Common Factor of 14/696, 220/867, 304/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/696, 220/867, 304/494

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 14/696,220/867,304/494

Given fractions are 14/696,220/867,304/494

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 14,220,304

Greatest Common Factor of Numerators i.e. GCF of 14,220,304 is 2 .

LCM of Denominators means LCM of 696,867,494 as per the given fractions.

LCM of 696,867,494 is 49682568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,220,304

GCF of Fractions 14/696,220/867,304/494 is 2/49682568

2 14, 220, 304
7, 110, 152

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

Greatest Common Factor of 14,220,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,220,304 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 14,220,304 . The biggest common factor number is the GCF number.
So the greatest common factor 14,220,304 is 2.

Lets's calculate LCM of 696,867,494

2 696, 867, 494
3 348, 867, 247
116, 289, 247

∴ So the LCM of the given numbers is 2 x 3 x 116 x 289 x 247 = 49682568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49682568

Therefore, the GCF of Fractions 14/696,220/867,304/494 is 2/49682568

Least Common Multiple of 696,867,494 with GCF Formula

Least Common Multiple of 696,867,494 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 696,867,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,867,494) = 1

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

GCF(696,867,494) x common factors =1 x 6 = 6

LCM(696,867,494) = ( 696 × 867 × 494 ) / 6

LCM(696,867,494) = 298095408 / 6

LCM(696,867,494) = 49682568


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 14/696, 220/867, 304/494

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 14/696, 220/867, 304/494?

Answer: GCF of Numerators as per given numbers 14/696, 220/867, 304/494 is

GCF of Numerators i.e. for 14,220,304 is 2

LCM of denominators i.e. for 696,867,494 is 49682568.

Thus, GCF of Fractions is 2/49682568.Finally, GCF of Fractions for 14/696, 220/867, 304/494 is 2/49682568.