How to Find GCF of 3130/905, 8089/3697?

GCF of 3130/905, 8089/3697

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 3130/905, 8089/3697 i.e 1/3345785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3130/905, 8089/3697.

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 3130/905,8089/3697?

Given fractions are 3130/905,8089/3697

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 3130/905,8089/3697, numerators are 3130,8089

Denominators are 905,3697

The GCF of 3130,8089 is 1 .

LCM of 905,3697 is 3345785.

The greatest common factor of 3130/905,8089/3697 = [GCF of 3130,8089]/[LCM of 905,3697]= 1/3345785

Therefore, the GCF of 3130/905,8089/3697 is 1/3345785.

Greatest Common Factor of 3130,8089

To find the highest common factor of 3130,8089, we have to find the factors of both numbers and list the highest common factor.

The factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130

The factors of 8089 are 1, 8089

The HCF of 3130,8089 is 1.

Lets's calculate GCF of 3130,8089

Greatest Common Factor (GCF) of 3130,8089 By Common Division

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

Greatest Common Factor of 3130,8089 By Matching Biggest Common Factor Method

Now, list down the factors of 3130

1,2,5,10,313,626,1565,3130

Now, list down the factors of 8089

1,8089

Greatest Common Factor

We found the factors 3130,8089 . The biggest common factor number is the GCF number.
So the greatest common factor 3130,8089 is 1.

Lets's calculate LCM of 905,3697

Lowest Common Multiple of 905,3697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3345785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3345785

Therefore, the GCF of Fractions 3130/905,8089/3697 is 1/3345785

Least Common Multiple of 905,3697 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 905,3697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,3697) = 1

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

GCF(905,3697) x common factors =1 x 1 = 1

LCM(905,3697) = ( 905 × 3697 ) / 1

LCM(905,3697) = 3345785 / 1

LCM(905,3697) = 3345785

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FAQs on GCF of Fractions of 3130/905, 8089/3697

1. What is the HCF of 3130,8089?

The HCF of 3130,8089 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 3130/905, 8089/3697?

Answer: GCF of Numerators as per given numbers 3130/905, 8089/3697 is

GCF of Numerators i.e. for 3130,8089 is 1

LCM of denominators i.e. for 905,3697 is 3345785.

Thus, GCF of Fractions is 1/3345785.Finally, GCF of Fractions for 3130/905, 8089/3697 is 1/3345785.