Greatest Common Factor of 207/369, 5474/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/369, 5474/864

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 207/369,5474/864

Given fractions are 207/369,5474/864

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 207,5474

Greatest Common Factor of Numerators i.e. GCF of 207,5474 is 23 .

LCM of Denominators means LCM of 369,864 as per the given fractions.

LCM of 369,864 is 35424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,5474

GCF of Fractions 207/369,5474/864 is 23/35424

23 207, 5474
9, 238

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 207,5474 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,5474 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Greatest Common Factor

We found the factors 207,5474 . The biggest common factor number is the GCF number.
So the greatest common factor 207,5474 is 23.

Lets's calculate LCM of 369,864

3 369, 864
3 123, 288
41, 96

∴ So the LCM of the given numbers is 3 x 3 x 41 x 96 = 35424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/35424

Therefore, the GCF of Fractions 207/369,5474/864 is 23/35424

Least Common Multiple of 369,864 with GCF Formula

Least Common Multiple of 369,864 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 369,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,864) = 9

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

GCF(369,864) x common factors =9 x 1 = 9

LCM(369,864) = ( 369 × 864 ) / 9

LCM(369,864) = 318816 / 9

LCM(369,864) = 35424


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 207/369, 5474/864

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 207/369, 5474/864?

Answer: GCF of Numerators as per given numbers 207/369, 5474/864 is

GCF of Numerators i.e. for 207,5474 is 23

LCM of denominators i.e. for 369,864 is 35424.

Thus, GCF of Fractions is 23/35424.Finally, GCF of Fractions for 207/369, 5474/864 is 23/35424.