Greatest Common Factor of 28/996, 364/871, 591/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/996, 364/871, 591/507

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 28/996,364/871,591/507

Given fractions are 28/996,364/871,591/507

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 28,364,591

Greatest Common Factor of Numerators i.e. GCF of 28,364,591 is 1 .

LCM of Denominators means LCM of 996,871,507 as per the given fractions.

LCM of 996,871,507 is 11277708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,364,591

GCF of Fractions 28/996,364/871,591/507 is 1/11277708

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

Greatest Common Factor of 28,364,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,364,591 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 28,364,591 . The biggest common factor number is the GCF number.
So the greatest common factor 28,364,591 is 1.

Lets's calculate LCM of 996,871,507

3 996, 871, 507
13 332, 871, 169
332, 67, 13

∴ So the LCM of the given numbers is 3 x 13 x 332 x 67 x 13 = 11277708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11277708

Therefore, the GCF of Fractions 28/996,364/871,591/507 is 1/11277708

Least Common Multiple of 996,871,507 with GCF Formula

Least Common Multiple of 996,871,507 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 996,871,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,871,507) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(996,871,507) x common factors =1 x 39 = 39

LCM(996,871,507) = ( 996 × 871 × 507 ) / 39

LCM(996,871,507) = 439830612 / 39

LCM(996,871,507) = 11277708


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 28/996, 364/871, 591/507

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 28/996, 364/871, 591/507?

Answer: GCF of Numerators as per given numbers 28/996, 364/871, 591/507 is

GCF of Numerators i.e. for 28,364,591 is 1

LCM of denominators i.e. for 996,871,507 is 11277708.

Thus, GCF of Fractions is 1/11277708.Finally, GCF of Fractions for 28/996, 364/871, 591/507 is 1/11277708.