How to Find GCF of 9137/387, 8087/8939?

GCF of 9137/387, 8087/8939

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 9137/387, 8087/8939 i.e 1/3459393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9137/387, 8087/8939.

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 9137/387,8087/8939?

Given fractions are 9137/387,8087/8939

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 9137/387,8087/8939, numerators are 9137,8087

Denominators are 387,8939

The GCF of 9137,8087 is 1 .

LCM of 387,8939 is 3459393.

The greatest common factor of 9137/387,8087/8939 = [GCF of 9137,8087]/[LCM of 387,8939]= 1/3459393

Therefore, the GCF of 9137/387,8087/8939 is 1/3459393.

Greatest Common Factor of 9137,8087

To find the highest common factor of 9137,8087, we have to find the factors of both numbers and list the highest common factor.

The factors of 9137 are 1, 9137

The factors of 8087 are 1, 8087

The HCF of 9137,8087 is 1.

Lets's calculate GCF of 9137,8087

Greatest Common Factor (GCF) of 9137,8087 By Common Division

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

Greatest Common Factor of 9137,8087 By Matching Biggest Common Factor Method

Now, list down the factors of 9137

1,9137

Now, list down the factors of 8087

1,8087

Greatest Common Factor

We found the factors 9137,8087 . The biggest common factor number is the GCF number.
So the greatest common factor 9137,8087 is 1.

Lets's calculate LCM of 387,8939

Lowest Common Multiple of 387,8939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3459393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3459393

Therefore, the GCF of Fractions 9137/387,8087/8939 is 1/3459393

Least Common Multiple of 387,8939 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 387,8939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,8939) = 1

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

GCF(387,8939) x common factors =1 x 1 = 1

LCM(387,8939) = ( 387 × 8939 ) / 1

LCM(387,8939) = 3459393 / 1

LCM(387,8939) = 3459393

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FAQs on GCF of Fractions of 9137/387, 8087/8939

1. What is the HCF of 9137,8087?

The HCF of 9137,8087 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 9137/387, 8087/8939?

Answer: GCF of Numerators as per given numbers 9137/387, 8087/8939 is

GCF of Numerators i.e. for 9137,8087 is 1

LCM of denominators i.e. for 387,8939 is 3459393.

Thus, GCF of Fractions is 1/3459393.Finally, GCF of Fractions for 9137/387, 8087/8939 is 1/3459393.