How to Find GCF of 4849/874, 3381/7226?

GCF of 4849/874, 3381/7226

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 4849/874, 3381/7226 i.e 1/3157762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4849/874, 3381/7226.

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 4849/874,3381/7226?

Given fractions are 4849/874,3381/7226

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 4849/874,3381/7226, numerators are 4849,3381

Denominators are 874,7226

The GCF of 4849,3381 is 1 .

LCM of 874,7226 is 3157762.

The greatest common factor of 4849/874,3381/7226 = [GCF of 4849,3381]/[LCM of 874,7226]= 1/3157762

Therefore, the GCF of 4849/874,3381/7226 is 1/3157762.

Greatest Common Factor of 4849,3381

To find the highest common factor of 4849,3381, we have to find the factors of both numbers and list the highest common factor.

The factors of 4849 are 1, 13, 373, 4849

The factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381

The HCF of 4849,3381 is 1.

Lets's calculate GCF of 4849,3381

Greatest Common Factor (GCF) of 4849,3381 By Common Division

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

Greatest Common Factor of 4849,3381 By Matching Biggest Common Factor Method

Now, list down the factors of 4849

1,13,373,4849

Now, list down the factors of 3381

1,3,7,21,23,49,69,147,161,483,1127,3381

Greatest Common Factor

We found the factors 4849,3381 . The biggest common factor number is the GCF number.
So the greatest common factor 4849,3381 is 1.

Lets's calculate LCM of 874,7226

Lowest Common Multiple of 874,7226 using Common Division

2	874, 7226
	437, 3613

∴ So the LCM of the given numbers is 2 x 437 x 3613 = 3157762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3157762

Therefore, the GCF of Fractions 4849/874,3381/7226 is 1/3157762

Least Common Multiple of 874,7226 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 874,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,7226) = 2

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

GCF(874,7226) x common factors =2 x 1 = 2

LCM(874,7226) = ( 874 × 7226 ) / 2

LCM(874,7226) = 6315524 / 2

LCM(874,7226) = 3157762

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FAQs on GCF of Fractions of 4849/874, 3381/7226

1. What is the HCF of 4849,3381?

The HCF of 4849,3381 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 4849/874, 3381/7226?

Answer: GCF of Numerators as per given numbers 4849/874, 3381/7226 is

GCF of Numerators i.e. for 4849,3381 is 1

LCM of denominators i.e. for 874,7226 is 3157762.

Thus, GCF of Fractions is 1/3157762.Finally, GCF of Fractions for 4849/874, 3381/7226 is 1/3157762.