How to Find GCF of 3321/372, 3334/7480?

GCF of 3321/372, 3334/7480

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 3321/372, 3334/7480 i.e 1/695640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3321/372, 3334/7480.

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 3321/372,3334/7480?

Given fractions are 3321/372,3334/7480

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 3321/372,3334/7480, numerators are 3321,3334

Denominators are 372,7480

The GCF of 3321,3334 is 1 .

LCM of 372,7480 is 695640.

The greatest common factor of 3321/372,3334/7480 = [GCF of 3321,3334]/[LCM of 372,7480]= 1/695640

Therefore, the GCF of 3321/372,3334/7480 is 1/695640.

Greatest Common Factor of 3321,3334

To find the highest common factor of 3321,3334, we have to find the factors of both numbers and list the highest common factor.

The factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321

The factors of 3334 are 1, 2, 1667, 3334

The HCF of 3321,3334 is 1.

Lets's calculate GCF of 3321,3334

Greatest Common Factor (GCF) of 3321,3334 By Common Division

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

Greatest Common Factor of 3321,3334 By Matching Biggest Common Factor Method

Now, list down the factors of 3321

1,3,9,27,41,81,123,369,1107,3321

Now, list down the factors of 3334

1,2,1667,3334

Greatest Common Factor

We found the factors 3321,3334 . The biggest common factor number is the GCF number.
So the greatest common factor 3321,3334 is 1.

Lets's calculate LCM of 372,7480

Lowest Common Multiple of 372,7480 using Common Division

2	372, 7480
2	186, 3740
	93, 1870

∴ So the LCM of the given numbers is 2 x 2 x 93 x 1870 = 695640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695640

Therefore, the GCF of Fractions 3321/372,3334/7480 is 1/695640

Least Common Multiple of 372,7480 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 372,7480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,7480) = 4

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

GCF(372,7480) x common factors =4 x 1 = 4

LCM(372,7480) = ( 372 × 7480 ) / 4

LCM(372,7480) = 2782560 / 4

LCM(372,7480) = 695640

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FAQs on GCF of Fractions of 3321/372, 3334/7480

1. What is the HCF of 3321,3334?

The HCF of 3321,3334 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 3321/372, 3334/7480?

Answer: GCF of Numerators as per given numbers 3321/372, 3334/7480 is

GCF of Numerators i.e. for 3321,3334 is 1

LCM of denominators i.e. for 372,7480 is 695640.

Thus, GCF of Fractions is 1/695640.Finally, GCF of Fractions for 3321/372, 3334/7480 is 1/695640.