How to Find GCF of 481/824, 3040/1356?

GCF of 481/824, 3040/1356

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 481/824, 3040/1356 i.e 1/279336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/824, 3040/1356.

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 481/824,3040/1356?

Given fractions are 481/824,3040/1356

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 481/824,3040/1356, numerators are 481,3040

Denominators are 824,1356

The GCF of 481,3040 is 1 .

LCM of 824,1356 is 279336.

The greatest common factor of 481/824,3040/1356 = [GCF of 481,3040]/[LCM of 824,1356]= 1/279336

Therefore, the GCF of 481/824,3040/1356 is 1/279336.

Greatest Common Factor of 481,3040

To find the highest common factor of 481,3040, we have to find the factors of both numbers and list the highest common factor.

The factors of 481 are 1, 13, 37, 481

The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040

The HCF of 481,3040 is 1.

Lets's calculate GCF of 481,3040

Greatest Common Factor (GCF) of 481,3040 By Common Division

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

Greatest Common Factor of 481,3040 By Matching Biggest Common Factor Method

Now, list down the factors of 481

1,13,37,481

Now, list down the factors of 3040

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 481,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 481,3040 is 1.

Lets's calculate LCM of 824,1356

Lowest Common Multiple of 824,1356 using Common Division

2	824, 1356
2	412, 678
	206, 339

∴ So the LCM of the given numbers is 2 x 2 x 206 x 339 = 279336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279336

Therefore, the GCF of Fractions 481/824,3040/1356 is 1/279336

Least Common Multiple of 824,1356 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 824,1356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1356) = 4

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

GCF(824,1356) x common factors =4 x 1 = 4

LCM(824,1356) = ( 824 × 1356 ) / 4

LCM(824,1356) = 1117344 / 4

LCM(824,1356) = 279336

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FAQs on GCF of Fractions of 481/824, 3040/1356

1. What is the HCF of 481,3040?

The HCF of 481,3040 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 481/824, 3040/1356?

Answer: GCF of Numerators as per given numbers 481/824, 3040/1356 is

GCF of Numerators i.e. for 481,3040 is 1

LCM of denominators i.e. for 824,1356 is 279336.

Thus, GCF of Fractions is 1/279336.Finally, GCF of Fractions for 481/824, 3040/1356 is 1/279336.