How to Find GCF of 2650/253, 1301/8296?

GCF of 2650/253, 1301/8296

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 2650/253, 1301/8296 i.e 1/2098888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2650/253, 1301/8296.

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 2650/253,1301/8296?

Given fractions are 2650/253,1301/8296

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 2650/253,1301/8296, numerators are 2650,1301

Denominators are 253,8296

The GCF of 2650,1301 is 1 .

LCM of 253,8296 is 2098888.

The greatest common factor of 2650/253,1301/8296 = [GCF of 2650,1301]/[LCM of 253,8296]= 1/2098888

Therefore, the GCF of 2650/253,1301/8296 is 1/2098888.

Greatest Common Factor of 2650,1301

To find the highest common factor of 2650,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650

The factors of 1301 are 1, 1301

The HCF of 2650,1301 is 1.

Lets's calculate GCF of 2650,1301

Greatest Common Factor (GCF) of 2650,1301 By Common Division

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

Greatest Common Factor of 2650,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 2650

1,2,5,10,25,50,53,106,265,530,1325,2650

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 2650,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,1301 is 1.

Lets's calculate LCM of 253,8296

Lowest Common Multiple of 253,8296 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2098888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2098888

Therefore, the GCF of Fractions 2650/253,1301/8296 is 1/2098888

Least Common Multiple of 253,8296 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 253,8296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,8296) = 1

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

GCF(253,8296) x common factors =1 x 1 = 1

LCM(253,8296) = ( 253 × 8296 ) / 1

LCM(253,8296) = 2098888 / 1

LCM(253,8296) = 2098888

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2650/253, 1301/8296

1. What is the HCF of 2650,1301?

The HCF of 2650,1301 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 2650/253, 1301/8296?

Answer: GCF of Numerators as per given numbers 2650/253, 1301/8296 is

GCF of Numerators i.e. for 2650,1301 is 1

LCM of denominators i.e. for 253,8296 is 2098888.

Thus, GCF of Fractions is 1/2098888.Finally, GCF of Fractions for 2650/253, 1301/8296 is 1/2098888.