How to Find GCF of 3813/548, 8351/8906?

GCF of 3813/548, 8351/8906

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 3813/548, 8351/8906 i.e 1/2440244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3813/548, 8351/8906.

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 3813/548,8351/8906?

Given fractions are 3813/548,8351/8906

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 3813/548,8351/8906, numerators are 3813,8351

Denominators are 548,8906

The GCF of 3813,8351 is 1 .

LCM of 548,8906 is 2440244.

The greatest common factor of 3813/548,8351/8906 = [GCF of 3813,8351]/[LCM of 548,8906]= 1/2440244

Therefore, the GCF of 3813/548,8351/8906 is 1/2440244.

Greatest Common Factor of 3813,8351

To find the highest common factor of 3813,8351, we have to find the factors of both numbers and list the highest common factor.

The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813

The factors of 8351 are 1, 7, 1193, 8351

The HCF of 3813,8351 is 1.

Lets's calculate GCF of 3813,8351

Greatest Common Factor (GCF) of 3813,8351 By Common Division

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

Greatest Common Factor of 3813,8351 By Matching Biggest Common Factor Method

Now, list down the factors of 3813

1,3,31,41,93,123,1271,3813

Now, list down the factors of 8351

1,7,1193,8351

Greatest Common Factor

We found the factors 3813,8351 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,8351 is 1.

Lets's calculate LCM of 548,8906

Lowest Common Multiple of 548,8906 using Common Division

2	548, 8906
	274, 4453

∴ So the LCM of the given numbers is 2 x 274 x 4453 = 2440244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2440244

Therefore, the GCF of Fractions 3813/548,8351/8906 is 1/2440244

Least Common Multiple of 548,8906 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 548,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,8906) = 2

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

GCF(548,8906) x common factors =2 x 1 = 2

LCM(548,8906) = ( 548 × 8906 ) / 2

LCM(548,8906) = 4880488 / 2

LCM(548,8906) = 2440244

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FAQs on GCF of Fractions of 3813/548, 8351/8906

1. What is the HCF of 3813,8351?

The HCF of 3813,8351 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 3813/548, 8351/8906?

Answer: GCF of Numerators as per given numbers 3813/548, 8351/8906 is

GCF of Numerators i.e. for 3813,8351 is 1

LCM of denominators i.e. for 548,8906 is 2440244.

Thus, GCF of Fractions is 1/2440244.Finally, GCF of Fractions for 3813/548, 8351/8906 is 1/2440244.