Greatest Common Factor of 459/231, 8400/7497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/231, 8400/7497

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 459/231,8400/7497

Given fractions are 459/231,8400/7497

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 459,8400

Greatest Common Factor of Numerators i.e. GCF of 459,8400 is 3 .

LCM of Denominators means LCM of 231,7497 as per the given fractions.

LCM of 231,7497 is 82467 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,8400

GCF of Fractions 459/231,8400/7497 is 3/82467

3 459, 8400
153, 2800

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 459,8400 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,8400 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Greatest Common Factor

We found the factors 459,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 459,8400 is 3.

Lets's calculate LCM of 231,7497

3 231, 7497
7 77, 2499
11, 357

∴ So the LCM of the given numbers is 3 x 7 x 11 x 357 = 82467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82467

Therefore, the GCF of Fractions 459/231,8400/7497 is 3/82467

Least Common Multiple of 231,7497 with GCF Formula

Least Common Multiple of 231,7497 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 231,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,7497) = 21

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

GCF(231,7497) x common factors =21 x 1 = 21

LCM(231,7497) = ( 231 × 7497 ) / 21

LCM(231,7497) = 1731807 / 21

LCM(231,7497) = 82467


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 459/231, 8400/7497

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 459/231, 8400/7497?

Answer: GCF of Numerators as per given numbers 459/231, 8400/7497 is

GCF of Numerators i.e. for 459,8400 is 3

LCM of denominators i.e. for 231,7497 is 82467.

Thus, GCF of Fractions is 3/82467.Finally, GCF of Fractions for 459/231, 8400/7497 is 3/82467.