Greatest Common Factor of 1368/577, 6864/4222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1368/577, 6864/4222

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 1368/577,6864/4222

Given fractions are 1368/577,6864/4222

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 1368,6864

Greatest Common Factor of Numerators i.e. GCF of 1368,6864 is 24 .

LCM of Denominators means LCM of 577,4222 as per the given fractions.

LCM of 577,4222 is 2436094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1368,6864

GCF of Fractions 1368/577,6864/4222 is 24/2436094

2 1368, 6864
2 684, 3432
2 342, 1716
3 171, 858
57, 286

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 1368,6864 By Matching Biggest Common Factor Method

Greatest Common Factor of 1368,6864 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 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864

Greatest Common Factor

We found the factors 1368,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,6864 is 24.

Lets's calculate LCM of 577,4222

Given numbers has no common factors except 1. So, there LCM is their product i.e 2436094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2436094

Therefore, the GCF of Fractions 1368/577,6864/4222 is 24/2436094

Least Common Multiple of 577,4222 with GCF Formula

Least Common Multiple of 577,4222 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 577,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,4222) = 1

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

GCF(577,4222) x common factors =1 x 1 = 1

LCM(577,4222) = ( 577 × 4222 ) / 1

LCM(577,4222) = 2436094 / 1

LCM(577,4222) = 2436094


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 1368/577, 6864/4222

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 1368/577, 6864/4222?

Answer: GCF of Numerators as per given numbers 1368/577, 6864/4222 is

GCF of Numerators i.e. for 1368,6864 is 24

LCM of denominators i.e. for 577,4222 is 2436094.

Thus, GCF of Fractions is 24/2436094.Finally, GCF of Fractions for 1368/577, 6864/4222 is 24/2436094.