How to Find GCF of 1874/481, 4081/6851?

GCF of 1874/481, 4081/6851

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 1874/481, 4081/6851 i.e 1/253487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1874/481, 4081/6851.

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 1874/481,4081/6851?

Given fractions are 1874/481,4081/6851

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 1874/481,4081/6851, numerators are 1874,4081

Denominators are 481,6851

The GCF of 1874,4081 is 1 .

LCM of 481,6851 is 253487.

The greatest common factor of 1874/481,4081/6851 = [GCF of 1874,4081]/[LCM of 481,6851]= 1/253487

Therefore, the GCF of 1874/481,4081/6851 is 1/253487.

Greatest Common Factor of 1874,4081

To find the highest common factor of 1874,4081, we have to find the factors of both numbers and list the highest common factor.

The factors of 1874 are 1, 2, 937, 1874

The factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081

The HCF of 1874,4081 is 1.

Lets's calculate GCF of 1874,4081

Greatest Common Factor (GCF) of 1874,4081 By Common Division

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

Greatest Common Factor of 1874,4081 By Matching Biggest Common Factor Method

Now, list down the factors of 1874

1,2,937,1874

Now, list down the factors of 4081

1,7,11,53,77,371,583,4081

Greatest Common Factor

We found the factors 1874,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 1874,4081 is 1.

Lets's calculate LCM of 481,6851

Lowest Common Multiple of 481,6851 using Common Division

13	481, 6851
	37, 527

∴ So the LCM of the given numbers is 13 x 37 x 527 = 253487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253487

Therefore, the GCF of Fractions 1874/481,4081/6851 is 1/253487

Least Common Multiple of 481,6851 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 481,6851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,6851) = 13

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

GCF(481,6851) x common factors =13 x 1 = 13

LCM(481,6851) = ( 481 × 6851 ) / 13

LCM(481,6851) = 3295331 / 13

LCM(481,6851) = 253487

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FAQs on GCF of Fractions of 1874/481, 4081/6851

1. What is the HCF of 1874,4081?

The HCF of 1874,4081 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 1874/481, 4081/6851?

Answer: GCF of Numerators as per given numbers 1874/481, 4081/6851 is

GCF of Numerators i.e. for 1874,4081 is 1

LCM of denominators i.e. for 481,6851 is 253487.

Thus, GCF of Fractions is 1/253487.Finally, GCF of Fractions for 1874/481, 4081/6851 is 1/253487.