Greatest Common Factor of 1368/717, 4820/1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1368/717, 4820/1755

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 1368/717,4820/1755

Given fractions are 1368/717,4820/1755

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 1368,4820

Greatest Common Factor of Numerators i.e. GCF of 1368,4820 is 4 .

LCM of Denominators means LCM of 717,1755 as per the given fractions.

LCM of 717,1755 is 419445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1368,4820

GCF of Fractions 1368/717,4820/1755 is 4/419445

2 1368, 4820
2 684, 2410
342, 1205

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1368,4820 By Matching Biggest Common Factor Method

Greatest Common Factor of 1368,4820 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 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

Greatest Common Factor

We found the factors 1368,4820 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,4820 is 4.

Lets's calculate LCM of 717,1755

3 717, 1755
239, 585

∴ So the LCM of the given numbers is 3 x 239 x 585 = 419445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/419445

Therefore, the GCF of Fractions 1368/717,4820/1755 is 4/419445

Least Common Multiple of 717,1755 with GCF Formula

Least Common Multiple of 717,1755 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 717,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,1755) = 3

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

GCF(717,1755) x common factors =3 x 1 = 3

LCM(717,1755) = ( 717 × 1755 ) / 3

LCM(717,1755) = 1258335 / 3

LCM(717,1755) = 419445


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 1368/717, 4820/1755

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 1368/717, 4820/1755?

Answer: GCF of Numerators as per given numbers 1368/717, 4820/1755 is

GCF of Numerators i.e. for 1368,4820 is 4

LCM of denominators i.e. for 717,1755 is 419445.

Thus, GCF of Fractions is 4/419445.Finally, GCF of Fractions for 1368/717, 4820/1755 is 4/419445.