How to Find GCF of 2461/796, 4609/1856?

GCF of 2461/796, 4609/1856

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 2461/796, 4609/1856 i.e 1/369344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2461/796, 4609/1856.

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 2461/796,4609/1856?

Given fractions are 2461/796,4609/1856

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 2461/796,4609/1856, numerators are 2461,4609

Denominators are 796,1856

The GCF of 2461,4609 is 1 .

LCM of 796,1856 is 369344.

The greatest common factor of 2461/796,4609/1856 = [GCF of 2461,4609]/[LCM of 796,1856]= 1/369344

Therefore, the GCF of 2461/796,4609/1856 is 1/369344.

Greatest Common Factor of 2461,4609

To find the highest common factor of 2461,4609, we have to find the factors of both numbers and list the highest common factor.

The factors of 2461 are 1, 23, 107, 2461

The factors of 4609 are 1, 11, 419, 4609

The HCF of 2461,4609 is 1.

Lets's calculate GCF of 2461,4609

Greatest Common Factor (GCF) of 2461,4609 By Common Division

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

Greatest Common Factor of 2461,4609 By Matching Biggest Common Factor Method

Now, list down the factors of 2461

1,23,107,2461

Now, list down the factors of 4609

1,11,419,4609

Greatest Common Factor

We found the factors 2461,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 2461,4609 is 1.

Lets's calculate LCM of 796,1856

Lowest Common Multiple of 796,1856 using Common Division

2	796, 1856
2	398, 928
	199, 464

∴ So the LCM of the given numbers is 2 x 2 x 199 x 464 = 369344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369344

Therefore, the GCF of Fractions 2461/796,4609/1856 is 1/369344

Least Common Multiple of 796,1856 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 796,1856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,1856) = 4

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

GCF(796,1856) x common factors =4 x 1 = 4

LCM(796,1856) = ( 796 × 1856 ) / 4

LCM(796,1856) = 1477376 / 4

LCM(796,1856) = 369344

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FAQs on GCF of Fractions of 2461/796, 4609/1856

1. What is the HCF of 2461,4609?

The HCF of 2461,4609 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 2461/796, 4609/1856?

Answer: GCF of Numerators as per given numbers 2461/796, 4609/1856 is

GCF of Numerators i.e. for 2461,4609 is 1

LCM of denominators i.e. for 796,1856 is 369344.

Thus, GCF of Fractions is 1/369344.Finally, GCF of Fractions for 2461/796, 4609/1856 is 1/369344.