Greatest Common Factor of 1487/888, 5969/8496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1487/888, 5969/8496

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 1487/888,5969/8496

Given fractions are 1487/888,5969/8496

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 1487,5969

Greatest Common Factor of Numerators i.e. GCF of 1487,5969 is 1 .

LCM of Denominators means LCM of 888,8496 as per the given fractions.

LCM of 888,8496 is 314352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1487,5969

GCF of Fractions 1487/888,5969/8496 is 1/314352

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

Greatest Common Factor of 1487,5969 By Matching Biggest Common Factor Method

Greatest Common Factor of 1487,5969 By Matching Biggest Common Factor Method

Factors of 1487

List of positive integer factors of 1487 that divides 1487 without a remainder.

1,1487

Factors of 5969

List of positive integer factors of 5969 that divides 5969 without a remainder.

1,47,127,5969

Greatest Common Factor

We found the factors 1487,5969 . The biggest common factor number is the GCF number.
So the greatest common factor 1487,5969 is 1.

Lets's calculate LCM of 888,8496

2 888, 8496
2 444, 4248
2 222, 2124
3 111, 1062
37, 354

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 354 = 314352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314352

Therefore, the GCF of Fractions 1487/888,5969/8496 is 1/314352

Least Common Multiple of 888,8496 with GCF Formula

Least Common Multiple of 888,8496 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 888,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,8496) = 24

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

GCF(888,8496) x common factors =24 x 1 = 24

LCM(888,8496) = ( 888 × 8496 ) / 24

LCM(888,8496) = 7544448 / 24

LCM(888,8496) = 314352


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 1487/888, 5969/8496

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 1487/888, 5969/8496?

Answer: GCF of Numerators as per given numbers 1487/888, 5969/8496 is

GCF of Numerators i.e. for 1487,5969 is 1

LCM of denominators i.e. for 888,8496 is 314352.

Thus, GCF of Fractions is 1/314352.Finally, GCF of Fractions for 1487/888, 5969/8496 is 1/314352.