How to Find GCF of 3411/748, 5221/2398?

GCF of 3411/748, 5221/2398

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 3411/748, 5221/2398 i.e 1/81532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3411/748, 5221/2398.

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 3411/748,5221/2398?

Given fractions are 3411/748,5221/2398

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 3411/748,5221/2398, numerators are 3411,5221

Denominators are 748,2398

The GCF of 3411,5221 is 1 .

LCM of 748,2398 is 81532.

The greatest common factor of 3411/748,5221/2398 = [GCF of 3411,5221]/[LCM of 748,2398]= 1/81532

Therefore, the GCF of 3411/748,5221/2398 is 1/81532.

Greatest Common Factor of 3411,5221

To find the highest common factor of 3411,5221, we have to find the factors of both numbers and list the highest common factor.

The factors of 3411 are 1, 3, 9, 379, 1137, 3411

The factors of 5221 are 1, 23, 227, 5221

The HCF of 3411,5221 is 1.

Lets's calculate GCF of 3411,5221

Greatest Common Factor (GCF) of 3411,5221 By Common Division

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

Greatest Common Factor of 3411,5221 By Matching Biggest Common Factor Method

Now, list down the factors of 3411

1,3,9,379,1137,3411

Now, list down the factors of 5221

1,23,227,5221

Greatest Common Factor

We found the factors 3411,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 3411,5221 is 1.

Lets's calculate LCM of 748,2398

Lowest Common Multiple of 748,2398 using Common Division

2	748, 2398
11	374, 1199
	34, 109

∴ So the LCM of the given numbers is 2 x 11 x 34 x 109 = 81532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81532

Therefore, the GCF of Fractions 3411/748,5221/2398 is 1/81532

Least Common Multiple of 748,2398 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 748,2398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,2398) = 22

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

GCF(748,2398) x common factors =22 x 1 = 22

LCM(748,2398) = ( 748 × 2398 ) / 22

LCM(748,2398) = 1793704 / 22

LCM(748,2398) = 81532

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3411/748, 5221/2398

1. What is the HCF of 3411,5221?

The HCF of 3411,5221 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 3411/748, 5221/2398?

Answer: GCF of Numerators as per given numbers 3411/748, 5221/2398 is

GCF of Numerators i.e. for 3411,5221 is 1

LCM of denominators i.e. for 748,2398 is 81532.

Thus, GCF of Fractions is 1/81532.Finally, GCF of Fractions for 3411/748, 5221/2398 is 1/81532.