Greatest Common Factor of 5008/763, 5472/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5008/763, 5472/594

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 5008/763,5472/594

Given fractions are 5008/763,5472/594

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 5008,5472

Greatest Common Factor of Numerators i.e. GCF of 5008,5472 is 16 .

LCM of Denominators means LCM of 763,594 as per the given fractions.

LCM of 763,594 is 453222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5008,5472

GCF of Fractions 5008/763,5472/594 is 16/453222

2 5008, 5472
2 2504, 2736
2 1252, 1368
2 626, 684
313, 342

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 5008,5472 By Matching Biggest Common Factor Method

Greatest Common Factor of 5008,5472 By Matching Biggest Common Factor Method

Factors of 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1,2,4,8,16,313,626,1252,2504,5008

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Greatest Common Factor

We found the factors 5008,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,5472 is 16.

Lets's calculate LCM of 763,594

Given numbers has no common factors except 1. So, there LCM is their product i.e 453222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/453222

Therefore, the GCF of Fractions 5008/763,5472/594 is 16/453222

Least Common Multiple of 763,594 with GCF Formula

Least Common Multiple of 763,594 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 763,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,594) = 1

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

GCF(763,594) x common factors =1 x 1 = 1

LCM(763,594) = ( 763 × 594 ) / 1

LCM(763,594) = 453222 / 1

LCM(763,594) = 453222


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 5008/763, 5472/594

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 5008/763, 5472/594?

Answer: GCF of Numerators as per given numbers 5008/763, 5472/594 is

GCF of Numerators i.e. for 5008,5472 is 16

LCM of denominators i.e. for 763,594 is 453222.

Thus, GCF of Fractions is 16/453222.Finally, GCF of Fractions for 5008/763, 5472/594 is 16/453222.