How to Find GCF of 2137/130, 3897/9083?

GCF of 2137/130, 3897/9083

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 2137/130, 3897/9083 i.e 1/1180790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2137/130, 3897/9083.

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 2137/130,3897/9083?

Given fractions are 2137/130,3897/9083

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 2137/130,3897/9083, numerators are 2137,3897

Denominators are 130,9083

The GCF of 2137,3897 is 1 .

LCM of 130,9083 is 1180790.

The greatest common factor of 2137/130,3897/9083 = [GCF of 2137,3897]/[LCM of 130,9083]= 1/1180790

Therefore, the GCF of 2137/130,3897/9083 is 1/1180790.

Greatest Common Factor of 2137,3897

To find the highest common factor of 2137,3897, we have to find the factors of both numbers and list the highest common factor.

The factors of 2137 are 1, 2137

The factors of 3897 are 1, 3, 9, 433, 1299, 3897

The HCF of 2137,3897 is 1.

Lets's calculate GCF of 2137,3897

Greatest Common Factor (GCF) of 2137,3897 By Common Division

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

Greatest Common Factor of 2137,3897 By Matching Biggest Common Factor Method

Now, list down the factors of 2137

1,2137

Now, list down the factors of 3897

1,3,9,433,1299,3897

Greatest Common Factor

We found the factors 2137,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 2137,3897 is 1.

Lets's calculate LCM of 130,9083

Lowest Common Multiple of 130,9083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1180790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1180790

Therefore, the GCF of Fractions 2137/130,3897/9083 is 1/1180790

Least Common Multiple of 130,9083 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 130,9083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,9083) = 1

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

GCF(130,9083) x common factors =1 x 1 = 1

LCM(130,9083) = ( 130 × 9083 ) / 1

LCM(130,9083) = 1180790 / 1

LCM(130,9083) = 1180790

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FAQs on GCF of Fractions of 2137/130, 3897/9083

1. What is the HCF of 2137,3897?

The HCF of 2137,3897 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 2137/130, 3897/9083?

Answer: GCF of Numerators as per given numbers 2137/130, 3897/9083 is

GCF of Numerators i.e. for 2137,3897 is 1

LCM of denominators i.e. for 130,9083 is 1180790.

Thus, GCF of Fractions is 1/1180790.Finally, GCF of Fractions for 2137/130, 3897/9083 is 1/1180790.