How to Find GCF of 4751/144, 1473/8024?

GCF of 4751/144, 1473/8024

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 4751/144, 1473/8024 i.e 1/144432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4751/144, 1473/8024.

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 4751/144,1473/8024?

Given fractions are 4751/144,1473/8024

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 4751/144,1473/8024, numerators are 4751,1473

Denominators are 144,8024

The GCF of 4751,1473 is 1 .

LCM of 144,8024 is 144432.

The greatest common factor of 4751/144,1473/8024 = [GCF of 4751,1473]/[LCM of 144,8024]= 1/144432

Therefore, the GCF of 4751/144,1473/8024 is 1/144432.

Greatest Common Factor of 4751,1473

To find the highest common factor of 4751,1473, we have to find the factors of both numbers and list the highest common factor.

The factors of 4751 are 1, 4751

The factors of 1473 are 1, 3, 491, 1473

The HCF of 4751,1473 is 1.

Lets's calculate GCF of 4751,1473

Greatest Common Factor (GCF) of 4751,1473 By Common Division

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

Greatest Common Factor of 4751,1473 By Matching Biggest Common Factor Method

Now, list down the factors of 4751

1,4751

Now, list down the factors of 1473

1,3,491,1473

Greatest Common Factor

We found the factors 4751,1473 . The biggest common factor number is the GCF number.
So the greatest common factor 4751,1473 is 1.

Lets's calculate LCM of 144,8024

Lowest Common Multiple of 144,8024 using Common Division

2	144, 8024
2	72, 4012
2	36, 2006
	18, 1003

∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 1003 = 144432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144432

Therefore, the GCF of Fractions 4751/144,1473/8024 is 1/144432

Least Common Multiple of 144,8024 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 144,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,8024) = 8

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

GCF(144,8024) x common factors =8 x 1 = 8

LCM(144,8024) = ( 144 × 8024 ) / 8

LCM(144,8024) = 1155456 / 8

LCM(144,8024) = 144432

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4751/144, 1473/8024

1. What is the HCF of 4751,1473?

The HCF of 4751,1473 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 4751/144, 1473/8024?

Answer: GCF of Numerators as per given numbers 4751/144, 1473/8024 is

GCF of Numerators i.e. for 4751,1473 is 1

LCM of denominators i.e. for 144,8024 is 144432.

Thus, GCF of Fractions is 1/144432.Finally, GCF of Fractions for 4751/144, 1473/8024 is 1/144432.