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GCF of 3098/327, 3671/3340

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 3098/327, 3671/3340 i.e 1/1092180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3098/327, 3671/3340.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3098/327,3671/3340?

Given fractions are 3098/327,3671/3340

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 3098/327,3671/3340, numerators are 3098,3671

Denominators are 327,3340

The GCF of 3098,3671 is 1 .

LCM of 327,3340 is 1092180.

The greatest common factor of 3098/327,3671/3340 = [GCF of 3098,3671]/[LCM of 327,3340]= 1/1092180

Therefore, the GCF of 3098/327,3671/3340 is 1/1092180.

Greatest Common Factor of 3098,3671

To find the highest common factor of 3098,3671, we have to find the factors of both numbers and list the highest common factor.

The factors of 3098 are 1, 2, 1549, 3098

The factors of 3671 are 1, 3671

The HCF of 3098,3671 is 1.

Lets's calculate GCF of 3098,3671

Greatest Common Factor (GCF) of 3098,3671 By Common Division

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

Greatest Common Factor of 3098,3671 By Matching Biggest Common Factor Method

Greatest Common Factor of 3098,3671 By Matching Biggest Common Factor Method

Now, list down the factors of 3098

:

1,2,1549,3098

Now, list down the factors of 3671

:

1,3671

Greatest Common Factor

We found the factors 3098,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 3098,3671 is 1.

Lets's calculate LCM of 327,3340

Lowest Common Multiple of 327,3340 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1092180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092180

Therefore, the GCF of Fractions 3098/327,3671/3340 is 1/1092180

Least Common Multiple of 327,3340 with GCF Formula

Least Common Multiple of 327,3340 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 327,3340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,3340) = 1

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

GCF(327,3340) x common factors =1 x 1 = 1

LCM(327,3340) = ( 327 × 3340 ) / 1

LCM(327,3340) = 1092180 / 1

LCM(327,3340) = 1092180


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FAQs on GCF of Fractions of 3098/327, 3671/3340

1. What is the HCF of 3098,3671?

The HCF of 3098,3671 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 3098/327, 3671/3340?

Answer: GCF of Numerators as per given numbers 3098/327, 3671/3340 is

GCF of Numerators i.e. for 3098,3671 is 1

LCM of denominators i.e. for 327,3340 is 1092180.

Thus, GCF of Fractions is 1/1092180.Finally, GCF of Fractions for 3098/327, 3671/3340 is 1/1092180.