How to Find GCF of 482/260, 918/380?

GCF of 482/260, 918/380

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 482/260, 918/380 i.e 2/4940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/260, 918/380.

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 482/260,918/380?

Given fractions are 482/260,918/380

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 482/260,918/380, numerators are 482,918

Denominators are 260,380

The GCF of 482,918 is 2 .

LCM of 260,380 is 4940.

The greatest common factor of 482/260,918/380 = [GCF of 482,918]/[LCM of 260,380]= 2/4940

Therefore, the GCF of 482/260,918/380 is 2/4940.

Greatest Common Factor of 482,918

To find the highest common factor of 482,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 482 are 1, 2, 241, 482

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 482,918 is 2.

Lets's calculate GCF of 482,918

Greatest Common Factor (GCF) of 482,918 By Common Division

2	482, 918
	241, 459

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

Greatest Common Factor of 482,918 By Matching Biggest Common Factor Method

Now, list down the factors of 482

1,2,241,482

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 482,918 . The biggest common factor number is the GCF number.
So the greatest common factor 482,918 is 2.

Lets's calculate LCM of 260,380

Lowest Common Multiple of 260,380 using Common Division

2	260, 380
2	130, 190
5	65, 95
	13, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 19 = 4940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4940

Therefore, the GCF of Fractions 482/260,918/380 is 2/4940

Least Common Multiple of 260,380 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 260,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,380) = 20

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

GCF(260,380) x common factors =20 x 1 = 20

LCM(260,380) = ( 260 × 380 ) / 20

LCM(260,380) = 98800 / 20

LCM(260,380) = 4940

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FAQs on GCF of Fractions of 482/260, 918/380

1. What is the HCF of 482,918?

The HCF of 482,918 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 482/260, 918/380?

Answer: GCF of Numerators as per given numbers 482/260, 918/380 is

GCF of Numerators i.e. for 482,918 is 2

LCM of denominators i.e. for 260,380 is 4940.

Thus, GCF of Fractions is 2/4940.Finally, GCF of Fractions for 482/260, 918/380 is 2/4940.