Greatest Common Factor of 1299/26, 2974/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1299/26, 2974/885

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 1299/26,2974/885

Given fractions are 1299/26,2974/885

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 1299,2974

Greatest Common Factor of Numerators i.e. GCF of 1299,2974 is 1 .

LCM of Denominators means LCM of 26,885 as per the given fractions.

LCM of 26,885 is 23010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1299,2974

GCF of Fractions 1299/26,2974/885 is 1/23010

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

Greatest Common Factor of 1299,2974 By Matching Biggest Common Factor Method

Greatest Common Factor of 1299,2974 By Matching Biggest Common Factor Method

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1,3,433,1299

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Greatest Common Factor

We found the factors 1299,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 1299,2974 is 1.

Lets's calculate LCM of 26,885

Given numbers has no common factors except 1. So, there LCM is their product i.e 23010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23010

Therefore, the GCF of Fractions 1299/26,2974/885 is 1/23010

Least Common Multiple of 26,885 with GCF Formula

Least Common Multiple of 26,885 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 26,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,885) = 1

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

GCF(26,885) x common factors =1 x 1 = 1

LCM(26,885) = ( 26 × 885 ) / 1

LCM(26,885) = 23010 / 1

LCM(26,885) = 23010


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 1299/26, 2974/885

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 1299/26, 2974/885?

Answer: GCF of Numerators as per given numbers 1299/26, 2974/885 is

GCF of Numerators i.e. for 1299,2974 is 1

LCM of denominators i.e. for 26,885 is 23010.

Thus, GCF of Fractions is 1/23010.Finally, GCF of Fractions for 1299/26, 2974/885 is 1/23010.