How to Find GCF of 2041/788, 8138/2377?

GCF of 2041/788, 8138/2377

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 2041/788, 8138/2377 i.e 13/1873076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2041/788, 8138/2377.

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 2041/788,8138/2377?

Given fractions are 2041/788,8138/2377

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 2041/788,8138/2377, numerators are 2041,8138

Denominators are 788,2377

The GCF of 2041,8138 is 13 .

LCM of 788,2377 is 1873076.

The greatest common factor of 2041/788,8138/2377 = [GCF of 2041,8138]/[LCM of 788,2377]= 13/1873076

Therefore, the GCF of 2041/788,8138/2377 is 13/1873076.

Greatest Common Factor of 2041,8138

To find the highest common factor of 2041,8138, we have to find the factors of both numbers and list the highest common factor.

The factors of 2041 are 1, 13, 157, 2041

The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138

The HCF of 2041,8138 is 13.

Lets's calculate GCF of 2041,8138

Greatest Common Factor (GCF) of 2041,8138 By Common Division

13	2041, 8138
	157, 626

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2041,8138 By Matching Biggest Common Factor Method

Now, list down the factors of 2041

1,13,157,2041

Now, list down the factors of 8138

1,2,13,26,313,626,4069,8138

Greatest Common Factor

We found the factors 2041,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 2041,8138 is 13.

Lets's calculate LCM of 788,2377

Lowest Common Multiple of 788,2377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1873076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1873076

Therefore, the GCF of Fractions 2041/788,8138/2377 is 13/1873076

Least Common Multiple of 788,2377 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 788,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,2377) = 1

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

GCF(788,2377) x common factors =1 x 1 = 1

LCM(788,2377) = ( 788 × 2377 ) / 1

LCM(788,2377) = 1873076 / 1

LCM(788,2377) = 1873076

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2041/788, 8138/2377

1. What is the HCF of 2041,8138?

The HCF of 2041,8138 is 13

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 2041/788, 8138/2377?

Answer: GCF of Numerators as per given numbers 2041/788, 8138/2377 is

GCF of Numerators i.e. for 2041,8138 is 13

LCM of denominators i.e. for 788,2377 is 1873076.

Thus, GCF of Fractions is 13/1873076.Finally, GCF of Fractions for 2041/788, 8138/2377 is 13/1873076.