How to Find GCF of 7125/404, 1439/2104?

GCF of 7125/404, 1439/2104

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 7125/404, 1439/2104 i.e 1/212504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7125/404, 1439/2104.

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 7125/404,1439/2104?

Given fractions are 7125/404,1439/2104

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 7125/404,1439/2104, numerators are 7125,1439

Denominators are 404,2104

The GCF of 7125,1439 is 1 .

LCM of 404,2104 is 212504.

The greatest common factor of 7125/404,1439/2104 = [GCF of 7125,1439]/[LCM of 404,2104]= 1/212504

Therefore, the GCF of 7125/404,1439/2104 is 1/212504.

Greatest Common Factor of 7125,1439

To find the highest common factor of 7125,1439, we have to find the factors of both numbers and list the highest common factor.

The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125

The factors of 1439 are 1, 1439

The HCF of 7125,1439 is 1.

Lets's calculate GCF of 7125,1439

Greatest Common Factor (GCF) of 7125,1439 By Common Division

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

Greatest Common Factor of 7125,1439 By Matching Biggest Common Factor Method

Now, list down the factors of 7125

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Now, list down the factors of 1439

1,1439

Greatest Common Factor

We found the factors 7125,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,1439 is 1.

Lets's calculate LCM of 404,2104

Lowest Common Multiple of 404,2104 using Common Division

2	404, 2104
2	202, 1052
	101, 526

∴ So the LCM of the given numbers is 2 x 2 x 101 x 526 = 212504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212504

Therefore, the GCF of Fractions 7125/404,1439/2104 is 1/212504

Least Common Multiple of 404,2104 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 404,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,2104) = 4

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

GCF(404,2104) x common factors =4 x 1 = 4

LCM(404,2104) = ( 404 × 2104 ) / 4

LCM(404,2104) = 850016 / 4

LCM(404,2104) = 212504

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FAQs on GCF of Fractions of 7125/404, 1439/2104

1. What is the HCF of 7125,1439?

The HCF of 7125,1439 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 7125/404, 1439/2104?

Answer: GCF of Numerators as per given numbers 7125/404, 1439/2104 is

GCF of Numerators i.e. for 7125,1439 is 1

LCM of denominators i.e. for 404,2104 is 212504.

Thus, GCF of Fractions is 1/212504.Finally, GCF of Fractions for 7125/404, 1439/2104 is 1/212504.