How to Find GCF of 15/726, 50/407, 909/298?

GCF of 15/726, 50/407, 909/298

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 15/726, 50/407, 909/298 i.e 1/4002438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/726, 50/407, 909/298.

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 15/726,50/407,909/298?

Given fractions are 15/726,50/407,909/298

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 15/726,50/407,909/298, numerators are 15,50,909

Denominators are 726,407,298

The GCF of 15,50,909 is 1 .

LCM of 726,407,298 is 4002438.

The greatest common factor of 15/726,50/407,909/298 = [GCF of 15,50,909]/[LCM of 726,407,298]= 1/4002438

Therefore, the GCF of 15/726,50/407,909/298 is 1/4002438.

Greatest Common Factor of 15,50,909

To find the highest common factor of 15,50,909, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 909 are 1, 3, 9, 101, 303, 909

The HCF of 15,50,909 is 1.

Lets's calculate GCF of 15,50,909

Greatest Common Factor (GCF) of 15,50,909 By Common Division

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

Greatest Common Factor of 15,50,909 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 909

1,3,9,101,303,909

Greatest Common Factor

We found the factors 15,50,909 . The biggest common factor number is the GCF number.
So the greatest common factor 15,50,909 is 1.

Lets's calculate LCM of 726,407,298

Lowest Common Multiple of 726,407,298 using Common Division

2	726, 407, 298
11	363, 407, 149
	33, 37, 149

∴ So the LCM of the given numbers is 2 x 11 x 33 x 37 x 149 = 4002438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4002438

Therefore, the GCF of Fractions 15/726,50/407,909/298 is 1/4002438

Least Common Multiple of 726,407,298 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 726,407,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,407,298) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(726,407,298) x common factors =1 x 22 = 22

LCM(726,407,298) = ( 726 × 407 × 298 ) / 22

LCM(726,407,298) = 88053636 / 22

LCM(726,407,298) = 4002438

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/726, 50/407, 909/298

1. What is the HCF of 15,50,909?

The HCF of 15,50,909 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 15/726, 50/407, 909/298?

Answer: GCF of Numerators as per given numbers 15/726, 50/407, 909/298 is

GCF of Numerators i.e. for 15,50,909 is 1

LCM of denominators i.e. for 726,407,298 is 4002438.

Thus, GCF of Fractions is 1/4002438.Finally, GCF of Fractions for 15/726, 50/407, 909/298 is 1/4002438.