Greatest Common Factor of 1369/788, 4554/3968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1369/788, 4554/3968

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 1369/788,4554/3968

Given fractions are 1369/788,4554/3968

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 1369,4554

Greatest Common Factor of Numerators i.e. GCF of 1369,4554 is 1 .

LCM of Denominators means LCM of 788,3968 as per the given fractions.

LCM of 788,3968 is 781696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1369,4554

GCF of Fractions 1369/788,4554/3968 is 1/781696

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1369,4554 By Matching Biggest Common Factor Method

Greatest Common Factor of 1369,4554 By Matching Biggest Common Factor Method

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Factors of 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554

Greatest Common Factor

We found the factors 1369,4554 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,4554 is 1.

Lets's calculate LCM of 788,3968

2 788, 3968
2 394, 1984
197, 992

∴ So the LCM of the given numbers is 2 x 2 x 197 x 992 = 781696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/781696

Therefore, the GCF of Fractions 1369/788,4554/3968 is 1/781696

Least Common Multiple of 788,3968 with GCF Formula

Least Common Multiple of 788,3968 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 788,3968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,3968) = 4

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

GCF(788,3968) x common factors =4 x 1 = 4

LCM(788,3968) = ( 788 × 3968 ) / 4

LCM(788,3968) = 3126784 / 4

LCM(788,3968) = 781696


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 1369/788, 4554/3968

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 1369/788, 4554/3968?

Answer: GCF of Numerators as per given numbers 1369/788, 4554/3968 is

GCF of Numerators i.e. for 1369,4554 is 1

LCM of denominators i.e. for 788,3968 is 781696.

Thus, GCF of Fractions is 1/781696.Finally, GCF of Fractions for 1369/788, 4554/3968 is 1/781696.