Greatest Common Factor of 5211/745, 6732/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5211/745, 6732/810

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 5211/745,6732/810

Given fractions are 5211/745,6732/810

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 5211,6732

Greatest Common Factor of Numerators i.e. GCF of 5211,6732 is 9 .

LCM of Denominators means LCM of 745,810 as per the given fractions.

LCM of 745,810 is 120690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5211,6732

GCF of Fractions 5211/745,6732/810 is 9/120690

3 5211, 6732
3 1737, 2244
579, 748

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5211,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 5211,6732 By Matching Biggest Common Factor Method

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1,3,9,27,193,579,1737,5211

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 5211,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,6732 is 9.

Lets's calculate LCM of 745,810

5 745, 810
149, 162

∴ So the LCM of the given numbers is 5 x 149 x 162 = 120690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/120690

Therefore, the GCF of Fractions 5211/745,6732/810 is 9/120690

Least Common Multiple of 745,810 with GCF Formula

Least Common Multiple of 745,810 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 745,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,810) = 5

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

GCF(745,810) x common factors =5 x 1 = 5

LCM(745,810) = ( 745 × 810 ) / 5

LCM(745,810) = 603450 / 5

LCM(745,810) = 120690


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 5211/745, 6732/810

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 5211/745, 6732/810?

Answer: GCF of Numerators as per given numbers 5211/745, 6732/810 is

GCF of Numerators i.e. for 5211,6732 is 9

LCM of denominators i.e. for 745,810 is 120690.

Thus, GCF of Fractions is 9/120690.Finally, GCF of Fractions for 5211/745, 6732/810 is 9/120690.