How to Find GCF of 3867/587, 3737/9055?

GCF of 3867/587, 3737/9055

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 3867/587, 3737/9055 i.e 1/5315285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3867/587, 3737/9055.

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 3867/587,3737/9055?

Given fractions are 3867/587,3737/9055

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 3867/587,3737/9055, numerators are 3867,3737

Denominators are 587,9055

The GCF of 3867,3737 is 1 .

LCM of 587,9055 is 5315285.

The greatest common factor of 3867/587,3737/9055 = [GCF of 3867,3737]/[LCM of 587,9055]= 1/5315285

Therefore, the GCF of 3867/587,3737/9055 is 1/5315285.

Greatest Common Factor of 3867,3737

To find the highest common factor of 3867,3737, we have to find the factors of both numbers and list the highest common factor.

The factors of 3867 are 1, 3, 1289, 3867

The factors of 3737 are 1, 37, 101, 3737

The HCF of 3867,3737 is 1.

Lets's calculate GCF of 3867,3737

Greatest Common Factor (GCF) of 3867,3737 By Common Division

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

Greatest Common Factor of 3867,3737 By Matching Biggest Common Factor Method

Now, list down the factors of 3867

1,3,1289,3867

Now, list down the factors of 3737

1,37,101,3737

Greatest Common Factor

We found the factors 3867,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,3737 is 1.

Lets's calculate LCM of 587,9055

Lowest Common Multiple of 587,9055 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5315285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5315285

Therefore, the GCF of Fractions 3867/587,3737/9055 is 1/5315285

Least Common Multiple of 587,9055 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 587,9055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,9055) = 1

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

GCF(587,9055) x common factors =1 x 1 = 1

LCM(587,9055) = ( 587 × 9055 ) / 1

LCM(587,9055) = 5315285 / 1

LCM(587,9055) = 5315285

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FAQs on GCF of Fractions of 3867/587, 3737/9055

1. What is the HCF of 3867,3737?

The HCF of 3867,3737 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 3867/587, 3737/9055?

Answer: GCF of Numerators as per given numbers 3867/587, 3737/9055 is

GCF of Numerators i.e. for 3867,3737 is 1

LCM of denominators i.e. for 587,9055 is 5315285.

Thus, GCF of Fractions is 1/5315285.Finally, GCF of Fractions for 3867/587, 3737/9055 is 1/5315285.