How to Find GCF of 3771/469, 5516/2808?

GCF of 3771/469, 5516/2808

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 3771/469, 5516/2808 i.e 1/1316952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3771/469, 5516/2808.

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 3771/469,5516/2808?

Given fractions are 3771/469,5516/2808

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 3771/469,5516/2808, numerators are 3771,5516

Denominators are 469,2808

The GCF of 3771,5516 is 1 .

LCM of 469,2808 is 1316952.

The greatest common factor of 3771/469,5516/2808 = [GCF of 3771,5516]/[LCM of 469,2808]= 1/1316952

Therefore, the GCF of 3771/469,5516/2808 is 1/1316952.

Greatest Common Factor of 3771,5516

To find the highest common factor of 3771,5516, we have to find the factors of both numbers and list the highest common factor.

The factors of 3771 are 1, 3, 9, 419, 1257, 3771

The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516

The HCF of 3771,5516 is 1.

Lets's calculate GCF of 3771,5516

Greatest Common Factor (GCF) of 3771,5516 By Common Division

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

Greatest Common Factor of 3771,5516 By Matching Biggest Common Factor Method

Now, list down the factors of 3771

1,3,9,419,1257,3771

Now, list down the factors of 5516

1,2,4,7,14,28,197,394,788,1379,2758,5516

Greatest Common Factor

We found the factors 3771,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 3771,5516 is 1.

Lets's calculate LCM of 469,2808

Lowest Common Multiple of 469,2808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316952

Therefore, the GCF of Fractions 3771/469,5516/2808 is 1/1316952

Least Common Multiple of 469,2808 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 469,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,2808) = 1

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

GCF(469,2808) x common factors =1 x 1 = 1

LCM(469,2808) = ( 469 × 2808 ) / 1

LCM(469,2808) = 1316952 / 1

LCM(469,2808) = 1316952

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3771/469, 5516/2808

1. What is the HCF of 3771,5516?

The HCF of 3771,5516 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 3771/469, 5516/2808?

Answer: GCF of Numerators as per given numbers 3771/469, 5516/2808 is

GCF of Numerators i.e. for 3771,5516 is 1

LCM of denominators i.e. for 469,2808 is 1316952.

Thus, GCF of Fractions is 1/1316952.Finally, GCF of Fractions for 3771/469, 5516/2808 is 1/1316952.