Greatest Common Factor of 665/297, 4123/8253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/297, 4123/8253

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 665/297,4123/8253

Given fractions are 665/297,4123/8253

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 665,4123

Greatest Common Factor of Numerators i.e. GCF of 665,4123 is 133 .

LCM of Denominators means LCM of 297,8253 as per the given fractions.

LCM of 297,8253 is 272349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,4123

GCF of Fractions 665/297,4123/8253 is 133/272349

7 665, 4123
19 95, 589
5, 31

∴ So the GCF of the given numbers is 7 x 19 = 133

Greatest Common Factor of 665,4123 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,4123 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Greatest Common Factor

We found the factors 665,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 665,4123 is 133.

Lets's calculate LCM of 297,8253

3 297, 8253
3 99, 2751
33, 917

∴ So the LCM of the given numbers is 3 x 3 x 33 x 917 = 272349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/272349

Therefore, the GCF of Fractions 665/297,4123/8253 is 133/272349

Least Common Multiple of 297,8253 with GCF Formula

Least Common Multiple of 297,8253 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 297,8253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,8253) = 9

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

GCF(297,8253) x common factors =9 x 1 = 9

LCM(297,8253) = ( 297 × 8253 ) / 9

LCM(297,8253) = 2451141 / 9

LCM(297,8253) = 272349


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 665/297, 4123/8253

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 665/297, 4123/8253?

Answer: GCF of Numerators as per given numbers 665/297, 4123/8253 is

GCF of Numerators i.e. for 665,4123 is 133

LCM of denominators i.e. for 297,8253 is 272349.

Thus, GCF of Fractions is 133/272349.Finally, GCF of Fractions for 665/297, 4123/8253 is 133/272349.