How to Find GCF of 4696/299, 2421/2821?

GCF of 4696/299, 2421/2821

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 4696/299, 2421/2821 i.e 1/64883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4696/299, 2421/2821.

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 4696/299,2421/2821?

Given fractions are 4696/299,2421/2821

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 4696/299,2421/2821, numerators are 4696,2421

Denominators are 299,2821

The GCF of 4696,2421 is 1 .

LCM of 299,2821 is 64883.

The greatest common factor of 4696/299,2421/2821 = [GCF of 4696,2421]/[LCM of 299,2821]= 1/64883

Therefore, the GCF of 4696/299,2421/2821 is 1/64883.

Greatest Common Factor of 4696,2421

To find the highest common factor of 4696,2421, we have to find the factors of both numbers and list the highest common factor.

The factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696

The factors of 2421 are 1, 3, 9, 269, 807, 2421

The HCF of 4696,2421 is 1.

Lets's calculate GCF of 4696,2421

Greatest Common Factor (GCF) of 4696,2421 By Common Division

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

Greatest Common Factor of 4696,2421 By Matching Biggest Common Factor Method

Now, list down the factors of 4696

1,2,4,8,587,1174,2348,4696

Now, list down the factors of 2421

1,3,9,269,807,2421

Greatest Common Factor

We found the factors 4696,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,2421 is 1.

Lets's calculate LCM of 299,2821

Lowest Common Multiple of 299,2821 using Common Division

13	299, 2821
	23, 217

∴ So the LCM of the given numbers is 13 x 23 x 217 = 64883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64883

Therefore, the GCF of Fractions 4696/299,2421/2821 is 1/64883

Least Common Multiple of 299,2821 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 299,2821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,2821) = 13

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

GCF(299,2821) x common factors =13 x 1 = 13

LCM(299,2821) = ( 299 × 2821 ) / 13

LCM(299,2821) = 843479 / 13

LCM(299,2821) = 64883

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FAQs on GCF of Fractions of 4696/299, 2421/2821

1. What is the HCF of 4696,2421?

The HCF of 4696,2421 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 4696/299, 2421/2821?

Answer: GCF of Numerators as per given numbers 4696/299, 2421/2821 is

GCF of Numerators i.e. for 4696,2421 is 1

LCM of denominators i.e. for 299,2821 is 64883.

Thus, GCF of Fractions is 1/64883.Finally, GCF of Fractions for 4696/299, 2421/2821 is 1/64883.