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GCF of 2689/189, 1751/3087

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 2689/189, 1751/3087 i.e 1/9261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2689/189, 1751/3087.

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 2689/189,1751/3087?

Given fractions are 2689/189,1751/3087

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 2689/189,1751/3087, numerators are 2689,1751

Denominators are 189,3087

The GCF of 2689,1751 is 1 .

LCM of 189,3087 is 9261.

The greatest common factor of 2689/189,1751/3087 = [GCF of 2689,1751]/[LCM of 189,3087]= 1/9261

Therefore, the GCF of 2689/189,1751/3087 is 1/9261.

Greatest Common Factor of 2689,1751

To find the highest common factor of 2689,1751, we have to find the factors of both numbers and list the highest common factor.

The factors of 2689 are 1, 2689

The factors of 1751 are 1, 17, 103, 1751

The HCF of 2689,1751 is 1.

Lets's calculate GCF of 2689,1751

Greatest Common Factor (GCF) of 2689,1751 By Common Division

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

Greatest Common Factor of 2689,1751 By Matching Biggest Common Factor Method

Greatest Common Factor of 2689,1751 By Matching Biggest Common Factor Method

Now, list down the factors of 2689

:

1,2689

Now, list down the factors of 1751

:

1,17,103,1751

Greatest Common Factor

We found the factors 2689,1751 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,1751 is 1.

Lets's calculate LCM of 189,3087

Lowest Common Multiple of 189,3087 using Common Division

3 189, 3087
3 63, 1029
7 21, 343
3, 49

∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 49 = 9261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9261

Therefore, the GCF of Fractions 2689/189,1751/3087 is 1/9261

Least Common Multiple of 189,3087 with GCF Formula

Least Common Multiple of 189,3087 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 189,3087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,3087) = 63

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

GCF(189,3087) x common factors =63 x 1 = 63

LCM(189,3087) = ( 189 × 3087 ) / 63

LCM(189,3087) = 583443 / 63

LCM(189,3087) = 9261


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2689/189, 1751/3087

1. What is the HCF of 2689,1751?

The HCF of 2689,1751 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 2689/189, 1751/3087?

Answer: GCF of Numerators as per given numbers 2689/189, 1751/3087 is

GCF of Numerators i.e. for 2689,1751 is 1

LCM of denominators i.e. for 189,3087 is 9261.

Thus, GCF of Fractions is 1/9261.Finally, GCF of Fractions for 2689/189, 1751/3087 is 1/9261.