Greatest Common Factor of 4783/884, 1504/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4783/884, 1504/412

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 4783/884,1504/412

Given fractions are 4783/884,1504/412

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 4783,1504

Greatest Common Factor of Numerators i.e. GCF of 4783,1504 is 1 .

LCM of Denominators means LCM of 884,412 as per the given fractions.

LCM of 884,412 is 91052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4783,1504

GCF of Fractions 4783/884,1504/412 is 1/91052

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

Greatest Common Factor of 4783,1504 By Matching Biggest Common Factor Method

Greatest Common Factor of 4783,1504 By Matching Biggest Common Factor Method

Factors of 4783

List of positive integer factors of 4783 that divides 4783 without a remainder.

1,4783

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Greatest Common Factor

We found the factors 4783,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 4783,1504 is 1.

Lets's calculate LCM of 884,412

2 884, 412
2 442, 206
221, 103

∴ So the LCM of the given numbers is 2 x 2 x 221 x 103 = 91052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91052

Therefore, the GCF of Fractions 4783/884,1504/412 is 1/91052

Least Common Multiple of 884,412 with GCF Formula

Least Common Multiple of 884,412 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 884,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,412) = 4

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

GCF(884,412) x common factors =4 x 1 = 4

LCM(884,412) = ( 884 × 412 ) / 4

LCM(884,412) = 364208 / 4

LCM(884,412) = 91052


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 4783/884, 1504/412

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 4783/884, 1504/412?

Answer: GCF of Numerators as per given numbers 4783/884, 1504/412 is

GCF of Numerators i.e. for 4783,1504 is 1

LCM of denominators i.e. for 884,412 is 91052.

Thus, GCF of Fractions is 1/91052.Finally, GCF of Fractions for 4783/884, 1504/412 is 1/91052.