How to Find GCF of 4727/204, 5348/2902?

GCF of 4727/204, 5348/2902

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4727/204, 5348/2902 i.e 1/296004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4727/204, 5348/2902.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4727/204,5348/2902?

Given fractions are 4727/204,5348/2902

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4727/204,5348/2902, numerators are 4727,5348

Denominators are 204,2902

The GCF of 4727,5348 is 1 .

LCM of 204,2902 is 296004.

The greatest common factor of 4727/204,5348/2902 = [GCF of 4727,5348]/[LCM of 204,2902]= 1/296004

Therefore, the GCF of 4727/204,5348/2902 is 1/296004.

Greatest Common Factor of 4727,5348

To find the highest common factor of 4727,5348, we have to find the factors of both numbers and list the highest common factor.

The factors of 4727 are 1, 29, 163, 4727

The factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348

The HCF of 4727,5348 is 1.

Lets's calculate GCF of 4727,5348

Greatest Common Factor (GCF) of 4727,5348 By Common Division

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

Greatest Common Factor of 4727,5348 By Matching Biggest Common Factor Method

Now, list down the factors of 4727

1,29,163,4727

Now, list down the factors of 5348

1,2,4,7,14,28,191,382,764,1337,2674,5348

Greatest Common Factor

We found the factors 4727,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 4727,5348 is 1.

Lets's calculate LCM of 204,2902

Lowest Common Multiple of 204,2902 using Common Division

2	204, 2902
	102, 1451

∴ So the LCM of the given numbers is 2 x 102 x 1451 = 296004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296004

Therefore, the GCF of Fractions 4727/204,5348/2902 is 1/296004

Least Common Multiple of 204,2902 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,2902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2902) = 2

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

GCF(204,2902) x common factors =2 x 1 = 2

LCM(204,2902) = ( 204 × 2902 ) / 2

LCM(204,2902) = 592008 / 2

LCM(204,2902) = 296004

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4727/204, 5348/2902

1. What is the HCF of 4727,5348?

The HCF of 4727,5348 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4727/204, 5348/2902?

Answer: GCF of Numerators as per given numbers 4727/204, 5348/2902 is

GCF of Numerators i.e. for 4727,5348 is 1

LCM of denominators i.e. for 204,2902 is 296004.

Thus, GCF of Fractions is 1/296004.Finally, GCF of Fractions for 4727/204, 5348/2902 is 1/296004.