Greatest Common Factor of 1368/48, 2265/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1368/48, 2265/697

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 1368/48,2265/697

Given fractions are 1368/48,2265/697

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 1368,2265

Greatest Common Factor of Numerators i.e. GCF of 1368,2265 is 3 .

LCM of Denominators means LCM of 48,697 as per the given fractions.

LCM of 48,697 is 33456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1368,2265

GCF of Fractions 1368/48,2265/697 is 3/33456

3 1368, 2265
456, 755

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1368,2265 By Matching Biggest Common Factor Method

Greatest Common Factor of 1368,2265 By Matching Biggest Common Factor Method

Factors of 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Greatest Common Factor

We found the factors 1368,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,2265 is 3.

Lets's calculate LCM of 48,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 33456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33456

Therefore, the GCF of Fractions 1368/48,2265/697 is 3/33456

Least Common Multiple of 48,697 with GCF Formula

Least Common Multiple of 48,697 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 48,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,697) = 1

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

GCF(48,697) x common factors =1 x 1 = 1

LCM(48,697) = ( 48 × 697 ) / 1

LCM(48,697) = 33456 / 1

LCM(48,697) = 33456


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 1368/48, 2265/697

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 1368/48, 2265/697?

Answer: GCF of Numerators as per given numbers 1368/48, 2265/697 is

GCF of Numerators i.e. for 1368,2265 is 3

LCM of denominators i.e. for 48,697 is 33456.

Thus, GCF of Fractions is 3/33456.Finally, GCF of Fractions for 1368/48, 2265/697 is 3/33456.