Greatest Common Factor of 833/965, 9261/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/965, 9261/267

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 833/965,9261/267

Given fractions are 833/965,9261/267

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 833,9261

Greatest Common Factor of Numerators i.e. GCF of 833,9261 is 49 .

LCM of Denominators means LCM of 965,267 as per the given fractions.

LCM of 965,267 is 257655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,9261

GCF of Fractions 833/965,9261/267 is 49/257655

7 833, 9261
7 119, 1323
17, 189

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 833,9261 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,9261 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Greatest Common Factor

We found the factors 833,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 833,9261 is 49.

Lets's calculate LCM of 965,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 257655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/257655

Therefore, the GCF of Fractions 833/965,9261/267 is 49/257655

Least Common Multiple of 965,267 with GCF Formula

Least Common Multiple of 965,267 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 965,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,267) = 1

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

GCF(965,267) x common factors =1 x 1 = 1

LCM(965,267) = ( 965 × 267 ) / 1

LCM(965,267) = 257655 / 1

LCM(965,267) = 257655


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 833/965, 9261/267

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 833/965, 9261/267?

Answer: GCF of Numerators as per given numbers 833/965, 9261/267 is

GCF of Numerators i.e. for 833,9261 is 49

LCM of denominators i.e. for 965,267 is 257655.

Thus, GCF of Fractions is 49/257655.Finally, GCF of Fractions for 833/965, 9261/267 is 49/257655.