How to Find GCF of 65/260, 47/526, 982/160?

GCF of 65/260, 47/526, 982/160

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 65/260, 47/526, 982/160 i.e 1/547040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/260, 47/526, 982/160.

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 65/260,47/526,982/160?

Given fractions are 65/260,47/526,982/160

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 65/260,47/526,982/160, numerators are 65,47,982

Denominators are 260,526,160

The GCF of 65,47,982 is 1 .

LCM of 260,526,160 is 547040.

The greatest common factor of 65/260,47/526,982/160 = [GCF of 65,47,982]/[LCM of 260,526,160]= 1/547040

Therefore, the GCF of 65/260,47/526,982/160 is 1/547040.

Greatest Common Factor of 65,47,982

To find the highest common factor of 65,47,982, we have to find the factors of both numbers and list the highest common factor.

The factors of 65 are 1, 5, 13, 65

The factors of 47 are 1, 47

The factors of 982 are 1, 2, 491, 982

The HCF of 65,47,982 is 1.

Lets's calculate GCF of 65,47,982

Greatest Common Factor (GCF) of 65,47,982 By Common Division

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

Greatest Common Factor of 65,47,982 By Matching Biggest Common Factor Method

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 47

1,47

Now, list down the factors of 982

1,2,491,982

Greatest Common Factor

We found the factors 65,47,982 . The biggest common factor number is the GCF number.
So the greatest common factor 65,47,982 is 1.

Lets's calculate LCM of 260,526,160

Lowest Common Multiple of 260,526,160 using Common Division

2	260, 526, 160
2	130, 263, 80
5	65, 263, 40
	13, 263, 8

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 263 x 8 = 547040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547040

Therefore, the GCF of Fractions 65/260,47/526,982/160 is 1/547040

Least Common Multiple of 260,526,160 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 260,526,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,526,160) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(260,526,160) x common factors =2 x 20 = 40

LCM(260,526,160) = ( 260 × 526 × 160 ) / 40

LCM(260,526,160) = 21881600 / 40

LCM(260,526,160) = 547040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 65/260, 47/526, 982/160

1. What is the HCF of 65,47,982?

The HCF of 65,47,982 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 65/260, 47/526, 982/160?

Answer: GCF of Numerators as per given numbers 65/260, 47/526, 982/160 is

GCF of Numerators i.e. for 65,47,982 is 1

LCM of denominators i.e. for 260,526,160 is 547040.

Thus, GCF of Fractions is 1/547040.Finally, GCF of Fractions for 65/260, 47/526, 982/160 is 1/547040.