Greatest Common Factor of 26/245, 299/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/245, 299/769

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 26/245,299/769

Given fractions are 26/245,299/769

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 26,299

Greatest Common Factor of Numerators i.e. GCF of 26,299 is 13 .

LCM of Denominators means LCM of 245,769 as per the given fractions.

LCM of 245,769 is 188405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,299

GCF of Fractions 26/245,299/769 is 13/188405

13 26, 299
2, 23

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 26,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,299 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 26,299 . The biggest common factor number is the GCF number.
So the greatest common factor 26,299 is 13.

Lets's calculate LCM of 245,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 188405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/188405

Therefore, the GCF of Fractions 26/245,299/769 is 13/188405

Least Common Multiple of 245,769 with GCF Formula

Least Common Multiple of 245,769 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 245,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,769) = 1

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

GCF(245,769) x common factors =1 x 1 = 1

LCM(245,769) = ( 245 × 769 ) / 1

LCM(245,769) = 188405 / 1

LCM(245,769) = 188405


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 26/245, 299/769

1. 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.

2. What is the GCF of Fractions for 26/245, 299/769?

Answer: GCF of Numerators as per given numbers 26/245, 299/769 is

GCF of Numerators i.e. for 26,299 is 13

LCM of denominators i.e. for 245,769 is 188405.

Thus, GCF of Fractions is 13/188405.Finally, GCF of Fractions for 26/245, 299/769 is 13/188405.