How to Find GCF of 4129/363, 6045/7452?

GCF of 4129/363, 6045/7452

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 4129/363, 6045/7452 i.e 1/901692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4129/363, 6045/7452.

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 4129/363,6045/7452?

Given fractions are 4129/363,6045/7452

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 4129/363,6045/7452, numerators are 4129,6045

Denominators are 363,7452

The GCF of 4129,6045 is 1 .

LCM of 363,7452 is 901692.

The greatest common factor of 4129/363,6045/7452 = [GCF of 4129,6045]/[LCM of 363,7452]= 1/901692

Therefore, the GCF of 4129/363,6045/7452 is 1/901692.

Greatest Common Factor of 4129,6045

To find the highest common factor of 4129,6045, we have to find the factors of both numbers and list the highest common factor.

The factors of 4129 are 1, 4129

The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045

The HCF of 4129,6045 is 1.

Lets's calculate GCF of 4129,6045

Greatest Common Factor (GCF) of 4129,6045 By Common Division

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

Greatest Common Factor of 4129,6045 By Matching Biggest Common Factor Method

Now, list down the factors of 4129

1,4129

Now, list down the factors of 6045

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 4129,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 4129,6045 is 1.

Lets's calculate LCM of 363,7452

Lowest Common Multiple of 363,7452 using Common Division

3	363, 7452
	121, 2484

∴ So the LCM of the given numbers is 3 x 121 x 2484 = 901692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/901692

Therefore, the GCF of Fractions 4129/363,6045/7452 is 1/901692

Least Common Multiple of 363,7452 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 363,7452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,7452) = 3

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

GCF(363,7452) x common factors =3 x 1 = 3

LCM(363,7452) = ( 363 × 7452 ) / 3

LCM(363,7452) = 2705076 / 3

LCM(363,7452) = 901692

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4129/363, 6045/7452

1. What is the HCF of 4129,6045?

The HCF of 4129,6045 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 4129/363, 6045/7452?

Answer: GCF of Numerators as per given numbers 4129/363, 6045/7452 is

GCF of Numerators i.e. for 4129,6045 is 1

LCM of denominators i.e. for 363,7452 is 901692.

Thus, GCF of Fractions is 1/901692.Finally, GCF of Fractions for 4129/363, 6045/7452 is 1/901692.