How to Find GCF of 1163/368, 3813/4894?

GCF of 1163/368, 3813/4894

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 1163/368, 3813/4894 i.e 1/900496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1163/368, 3813/4894.

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 1163/368,3813/4894?

Given fractions are 1163/368,3813/4894

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 1163/368,3813/4894, numerators are 1163,3813

Denominators are 368,4894

The GCF of 1163,3813 is 1 .

LCM of 368,4894 is 900496.

The greatest common factor of 1163/368,3813/4894 = [GCF of 1163,3813]/[LCM of 368,4894]= 1/900496

Therefore, the GCF of 1163/368,3813/4894 is 1/900496.

Greatest Common Factor of 1163,3813

To find the highest common factor of 1163,3813, we have to find the factors of both numbers and list the highest common factor.

The factors of 1163 are 1, 1163

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

The HCF of 1163,3813 is 1.

Lets's calculate GCF of 1163,3813

Greatest Common Factor (GCF) of 1163,3813 By Common Division

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

Greatest Common Factor of 1163,3813 By Matching Biggest Common Factor Method

Now, list down the factors of 1163

1,1163

Now, list down the factors of 3813

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

Greatest Common Factor

We found the factors 1163,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,3813 is 1.

Lets's calculate LCM of 368,4894

Lowest Common Multiple of 368,4894 using Common Division

2	368, 4894
	184, 2447

∴ So the LCM of the given numbers is 2 x 184 x 2447 = 900496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900496

Therefore, the GCF of Fractions 1163/368,3813/4894 is 1/900496

Least Common Multiple of 368,4894 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 368,4894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,4894) = 2

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

GCF(368,4894) x common factors =2 x 1 = 2

LCM(368,4894) = ( 368 × 4894 ) / 2

LCM(368,4894) = 1800992 / 2

LCM(368,4894) = 900496

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FAQs on GCF of Fractions of 1163/368, 3813/4894

1. What is the HCF of 1163,3813?

The HCF of 1163,3813 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 1163/368, 3813/4894?

Answer: GCF of Numerators as per given numbers 1163/368, 3813/4894 is

GCF of Numerators i.e. for 1163,3813 is 1

LCM of denominators i.e. for 368,4894 is 900496.

Thus, GCF of Fractions is 1/900496.Finally, GCF of Fractions for 1163/368, 3813/4894 is 1/900496.