Greatest Common Factor of 14/26, 66/63, 562/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/26, 66/63, 562/301

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 14/26,66/63,562/301

Given fractions are 14/26,66/63,562/301

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 14,66,562

Greatest Common Factor of Numerators i.e. GCF of 14,66,562 is 2 .

LCM of Denominators means LCM of 26,63,301 as per the given fractions.

LCM of 26,63,301 is 70434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,66,562

GCF of Fractions 14/26,66/63,562/301 is 2/70434

2 14, 66, 562
7, 33, 281

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

Greatest Common Factor of 14,66,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,66,562 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 14,66,562 . The biggest common factor number is the GCF number.
So the greatest common factor 14,66,562 is 2.

Lets's calculate LCM of 26,63,301

7 26, 63, 301
26, 9, 43

∴ So the LCM of the given numbers is 7 x 26 x 9 x 43 = 70434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70434

Therefore, the GCF of Fractions 14/26,66/63,562/301 is 2/70434

Least Common Multiple of 26,63,301 with GCF Formula

Least Common Multiple of 26,63,301 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 26,63,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,63,301) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(26,63,301) x common factors =1 x 7 = 7

LCM(26,63,301) = ( 26 × 63 × 301 ) / 7

LCM(26,63,301) = 493038 / 7

LCM(26,63,301) = 70434


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 14/26, 66/63, 562/301

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 14/26, 66/63, 562/301?

Answer: GCF of Numerators as per given numbers 14/26, 66/63, 562/301 is

GCF of Numerators i.e. for 14,66,562 is 2

LCM of denominators i.e. for 26,63,301 is 70434.

Thus, GCF of Fractions is 2/70434.Finally, GCF of Fractions for 14/26, 66/63, 562/301 is 2/70434.