How to Find GCF of 4311/477, 2029/6319?

GCF of 4311/477, 2029/6319

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 4311/477, 2029/6319 i.e 1/3014163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4311/477, 2029/6319.

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 4311/477,2029/6319?

Given fractions are 4311/477,2029/6319

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 4311/477,2029/6319, numerators are 4311,2029

Denominators are 477,6319

The GCF of 4311,2029 is 1 .

LCM of 477,6319 is 3014163.

The greatest common factor of 4311/477,2029/6319 = [GCF of 4311,2029]/[LCM of 477,6319]= 1/3014163

Therefore, the GCF of 4311/477,2029/6319 is 1/3014163.

Greatest Common Factor of 4311,2029

To find the highest common factor of 4311,2029, we have to find the factors of both numbers and list the highest common factor.

The factors of 4311 are 1, 3, 9, 479, 1437, 4311

The factors of 2029 are 1, 2029

The HCF of 4311,2029 is 1.

Lets's calculate GCF of 4311,2029

Greatest Common Factor (GCF) of 4311,2029 By Common Division

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

Greatest Common Factor of 4311,2029 By Matching Biggest Common Factor Method

Now, list down the factors of 4311

1,3,9,479,1437,4311

Now, list down the factors of 2029

1,2029

Greatest Common Factor

We found the factors 4311,2029 . The biggest common factor number is the GCF number.
So the greatest common factor 4311,2029 is 1.

Lets's calculate LCM of 477,6319

Lowest Common Multiple of 477,6319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3014163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3014163

Therefore, the GCF of Fractions 4311/477,2029/6319 is 1/3014163

Least Common Multiple of 477,6319 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 477,6319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,6319) = 1

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

GCF(477,6319) x common factors =1 x 1 = 1

LCM(477,6319) = ( 477 × 6319 ) / 1

LCM(477,6319) = 3014163 / 1

LCM(477,6319) = 3014163

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FAQs on GCF of Fractions of 4311/477, 2029/6319

1. What is the HCF of 4311,2029?

The HCF of 4311,2029 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 4311/477, 2029/6319?

Answer: GCF of Numerators as per given numbers 4311/477, 2029/6319 is

GCF of Numerators i.e. for 4311,2029 is 1

LCM of denominators i.e. for 477,6319 is 3014163.

Thus, GCF of Fractions is 1/3014163.Finally, GCF of Fractions for 4311/477, 2029/6319 is 1/3014163.