How to Find GCF of 8116/365, 2113/1049?

GCF of 8116/365, 2113/1049

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 8116/365, 2113/1049 i.e 1/382885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8116/365, 2113/1049.

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 8116/365,2113/1049?

Given fractions are 8116/365,2113/1049

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 8116/365,2113/1049, numerators are 8116,2113

Denominators are 365,1049

The GCF of 8116,2113 is 1 .

LCM of 365,1049 is 382885.

The greatest common factor of 8116/365,2113/1049 = [GCF of 8116,2113]/[LCM of 365,1049]= 1/382885

Therefore, the GCF of 8116/365,2113/1049 is 1/382885.

Greatest Common Factor of 8116,2113

To find the highest common factor of 8116,2113, we have to find the factors of both numbers and list the highest common factor.

The factors of 8116 are 1, 2, 4, 2029, 4058, 8116

The factors of 2113 are 1, 2113

The HCF of 8116,2113 is 1.

Lets's calculate GCF of 8116,2113

Greatest Common Factor (GCF) of 8116,2113 By Common Division

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

Greatest Common Factor of 8116,2113 By Matching Biggest Common Factor Method

Now, list down the factors of 8116

1,2,4,2029,4058,8116

Now, list down the factors of 2113

1,2113

Greatest Common Factor

We found the factors 8116,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 8116,2113 is 1.

Lets's calculate LCM of 365,1049

Lowest Common Multiple of 365,1049 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 382885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382885

Therefore, the GCF of Fractions 8116/365,2113/1049 is 1/382885

Least Common Multiple of 365,1049 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 365,1049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,1049) = 1

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

GCF(365,1049) x common factors =1 x 1 = 1

LCM(365,1049) = ( 365 × 1049 ) / 1

LCM(365,1049) = 382885 / 1

LCM(365,1049) = 382885

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8116/365, 2113/1049

1. What is the HCF of 8116,2113?

The HCF of 8116,2113 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 8116/365, 2113/1049?

Answer: GCF of Numerators as per given numbers 8116/365, 2113/1049 is

GCF of Numerators i.e. for 8116,2113 is 1

LCM of denominators i.e. for 365,1049 is 382885.

Thus, GCF of Fractions is 1/382885.Finally, GCF of Fractions for 8116/365, 2113/1049 is 1/382885.