How to Find GCF of 3879/491, 1813/1812?

GCF of 3879/491, 1813/1812

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 3879/491, 1813/1812 i.e 1/889692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3879/491, 1813/1812.

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 3879/491,1813/1812?

Given fractions are 3879/491,1813/1812

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 3879/491,1813/1812, numerators are 3879,1813

Denominators are 491,1812

The GCF of 3879,1813 is 1 .

LCM of 491,1812 is 889692.

The greatest common factor of 3879/491,1813/1812 = [GCF of 3879,1813]/[LCM of 491,1812]= 1/889692

Therefore, the GCF of 3879/491,1813/1812 is 1/889692.

Greatest Common Factor of 3879,1813

To find the highest common factor of 3879,1813, we have to find the factors of both numbers and list the highest common factor.

The factors of 3879 are 1, 3, 9, 431, 1293, 3879

The factors of 1813 are 1, 7, 37, 49, 259, 1813

The HCF of 3879,1813 is 1.

Lets's calculate GCF of 3879,1813

Greatest Common Factor (GCF) of 3879,1813 By Common Division

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

Greatest Common Factor of 3879,1813 By Matching Biggest Common Factor Method

Now, list down the factors of 3879

1,3,9,431,1293,3879

Now, list down the factors of 1813

1,7,37,49,259,1813

Greatest Common Factor

We found the factors 3879,1813 . The biggest common factor number is the GCF number.
So the greatest common factor 3879,1813 is 1.

Lets's calculate LCM of 491,1812

Lowest Common Multiple of 491,1812 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 889692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889692

Therefore, the GCF of Fractions 3879/491,1813/1812 is 1/889692

Least Common Multiple of 491,1812 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 491,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,1812) = 1

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

GCF(491,1812) x common factors =1 x 1 = 1

LCM(491,1812) = ( 491 × 1812 ) / 1

LCM(491,1812) = 889692 / 1

LCM(491,1812) = 889692

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FAQs on GCF of Fractions of 3879/491, 1813/1812

1. What is the HCF of 3879,1813?

The HCF of 3879,1813 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 3879/491, 1813/1812?

Answer: GCF of Numerators as per given numbers 3879/491, 1813/1812 is

GCF of Numerators i.e. for 3879,1813 is 1

LCM of denominators i.e. for 491,1812 is 889692.

Thus, GCF of Fractions is 1/889692.Finally, GCF of Fractions for 3879/491, 1813/1812 is 1/889692.