How to Find GCF of 4059/385, 5656/4421?

GCF of 4059/385, 5656/4421

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 4059/385, 5656/4421 i.e 1/1702085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4059/385, 5656/4421.

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 4059/385,5656/4421?

Given fractions are 4059/385,5656/4421

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 4059/385,5656/4421, numerators are 4059,5656

Denominators are 385,4421

The GCF of 4059,5656 is 1 .

LCM of 385,4421 is 1702085.

The greatest common factor of 4059/385,5656/4421 = [GCF of 4059,5656]/[LCM of 385,4421]= 1/1702085

Therefore, the GCF of 4059/385,5656/4421 is 1/1702085.

Greatest Common Factor of 4059,5656

To find the highest common factor of 4059,5656, we have to find the factors of both numbers and list the highest common factor.

The factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

The HCF of 4059,5656 is 1.

Lets's calculate GCF of 4059,5656

Greatest Common Factor (GCF) of 4059,5656 By Common Division

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

Greatest Common Factor of 4059,5656 By Matching Biggest Common Factor Method

Now, list down the factors of 4059

1,3,9,11,33,41,99,123,369,451,1353,4059

Now, list down the factors of 5656

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 4059,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 4059,5656 is 1.

Lets's calculate LCM of 385,4421

Lowest Common Multiple of 385,4421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1702085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702085

Therefore, the GCF of Fractions 4059/385,5656/4421 is 1/1702085

Least Common Multiple of 385,4421 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 385,4421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,4421) = 1

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

GCF(385,4421) x common factors =1 x 1 = 1

LCM(385,4421) = ( 385 × 4421 ) / 1

LCM(385,4421) = 1702085 / 1

LCM(385,4421) = 1702085

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4059/385, 5656/4421

1. What is the HCF of 4059,5656?

The HCF of 4059,5656 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 4059/385, 5656/4421?

Answer: GCF of Numerators as per given numbers 4059/385, 5656/4421 is

GCF of Numerators i.e. for 4059,5656 is 1

LCM of denominators i.e. for 385,4421 is 1702085.

Thus, GCF of Fractions is 1/1702085.Finally, GCF of Fractions for 4059/385, 5656/4421 is 1/1702085.