How to Find GCF of 726/259, 560/540?

GCF of 726/259, 560/540

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 726/259, 560/540 i.e 2/139860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/259, 560/540.

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 726/259,560/540?

Given fractions are 726/259,560/540

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 726/259,560/540, numerators are 726,560

Denominators are 259,540

The GCF of 726,560 is 2 .

LCM of 259,540 is 139860.

The greatest common factor of 726/259,560/540 = [GCF of 726,560]/[LCM of 259,540]= 2/139860

Therefore, the GCF of 726/259,560/540 is 2/139860.

Greatest Common Factor of 726,560

To find the highest common factor of 726,560, we have to find the factors of both numbers and list the highest common factor.

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

The HCF of 726,560 is 2.

Lets's calculate GCF of 726,560

Greatest Common Factor (GCF) of 726,560 By Common Division

2	726, 560
	363, 280

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 726,560 By Matching Biggest Common Factor Method

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Now, list down the factors of 560

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 726,560 . The biggest common factor number is the GCF number.
So the greatest common factor 726,560 is 2.

Lets's calculate LCM of 259,540

Lowest Common Multiple of 259,540 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 139860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139860

Therefore, the GCF of Fractions 726/259,560/540 is 2/139860

Least Common Multiple of 259,540 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 259,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,540) = 1

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

GCF(259,540) x common factors =1 x 1 = 1

LCM(259,540) = ( 259 × 540 ) / 1

LCM(259,540) = 139860 / 1

LCM(259,540) = 139860

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FAQs on GCF of Fractions of 726/259, 560/540

1. What is the HCF of 726,560?

The HCF of 726,560 is 2

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 726/259, 560/540?

Answer: GCF of Numerators as per given numbers 726/259, 560/540 is

GCF of Numerators i.e. for 726,560 is 2

LCM of denominators i.e. for 259,540 is 139860.

Thus, GCF of Fractions is 2/139860.Finally, GCF of Fractions for 726/259, 560/540 is 2/139860.