Greatest Common Factor of 833/497, 9639/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/497, 9639/902

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 833/497,9639/902

Given fractions are 833/497,9639/902

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 833,9639

Greatest Common Factor of Numerators i.e. GCF of 833,9639 is 119 .

LCM of Denominators means LCM of 497,902 as per the given fractions.

LCM of 497,902 is 448294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,9639

GCF of Fractions 833/497,9639/902 is 119/448294

7 833, 9639
17 119, 1377
7, 81

∴ So the GCF of the given numbers is 7 x 17 = 119

Greatest Common Factor of 833,9639 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,9639 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 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639

Greatest Common Factor

We found the factors 833,9639 . The biggest common factor number is the GCF number.
So the greatest common factor 833,9639 is 119.

Lets's calculate LCM of 497,902

Given numbers has no common factors except 1. So, there LCM is their product i.e 448294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/448294

Therefore, the GCF of Fractions 833/497,9639/902 is 119/448294

Least Common Multiple of 497,902 with GCF Formula

Least Common Multiple of 497,902 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 497,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,902) = 1

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

GCF(497,902) x common factors =1 x 1 = 1

LCM(497,902) = ( 497 × 902 ) / 1

LCM(497,902) = 448294 / 1

LCM(497,902) = 448294


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 833/497, 9639/902

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 833/497, 9639/902?

Answer: GCF of Numerators as per given numbers 833/497, 9639/902 is

GCF of Numerators i.e. for 833,9639 is 119

LCM of denominators i.e. for 497,902 is 448294.

Thus, GCF of Fractions is 119/448294.Finally, GCF of Fractions for 833/497, 9639/902 is 119/448294.