Greatest Common Factor of 342/69, 7638/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 342/69, 7638/297

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 342/69,7638/297

Given fractions are 342/69,7638/297

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 342,7638

Greatest Common Factor of Numerators i.e. GCF of 342,7638 is 114 .

LCM of Denominators means LCM of 69,297 as per the given fractions.

LCM of 69,297 is 6831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 342,7638

GCF of Fractions 342/69,7638/297 is 114/6831

2 342, 7638
3 171, 3819
19 57, 1273
3, 67

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Greatest Common Factor of 342,7638 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,7638 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Greatest Common Factor

We found the factors 342,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 342,7638 is 114.

Lets's calculate LCM of 69,297

3 69, 297
23, 99

∴ So the LCM of the given numbers is 3 x 23 x 99 = 6831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/6831

Therefore, the GCF of Fractions 342/69,7638/297 is 114/6831

Least Common Multiple of 69,297 with GCF Formula

Least Common Multiple of 69,297 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 69,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,297) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(69,297) x common factors =3 x 1 = 3

LCM(69,297) = ( 69 × 297 ) / 3

LCM(69,297) = 20493 / 3

LCM(69,297) = 6831


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 342/69, 7638/297

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 342/69, 7638/297?

Answer: GCF of Numerators as per given numbers 342/69, 7638/297 is

GCF of Numerators i.e. for 342,7638 is 114

LCM of denominators i.e. for 69,297 is 6831.

Thus, GCF of Fractions is 114/6831.Finally, GCF of Fractions for 342/69, 7638/297 is 114/6831.