Greatest Common Factor of 9300/810, 9532/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9300/810, 9532/687

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 9300/810,9532/687

Given fractions are 9300/810,9532/687

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 9300,9532

Greatest Common Factor of Numerators i.e. GCF of 9300,9532 is 4 .

LCM of Denominators means LCM of 810,687 as per the given fractions.

LCM of 810,687 is 185490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9300,9532

GCF of Fractions 9300/810,9532/687 is 4/185490

2 9300, 9532
2 4650, 4766
2325, 2383

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9300,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 9300,9532 By Matching Biggest Common Factor Method

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 9300,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,9532 is 4.

Lets's calculate LCM of 810,687

3 810, 687
270, 229

∴ So the LCM of the given numbers is 3 x 270 x 229 = 185490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/185490

Therefore, the GCF of Fractions 9300/810,9532/687 is 4/185490

Least Common Multiple of 810,687 with GCF Formula

Least Common Multiple of 810,687 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 810,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,687) = 3

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

GCF(810,687) x common factors =3 x 1 = 3

LCM(810,687) = ( 810 × 687 ) / 3

LCM(810,687) = 556470 / 3

LCM(810,687) = 185490


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 9300/810, 9532/687

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 9300/810, 9532/687?

Answer: GCF of Numerators as per given numbers 9300/810, 9532/687 is

GCF of Numerators i.e. for 9300,9532 is 4

LCM of denominators i.e. for 810,687 is 185490.

Thus, GCF of Fractions is 4/185490.Finally, GCF of Fractions for 9300/810, 9532/687 is 4/185490.