Greatest Common Factor of 8700/213, 8750/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8700/213, 8750/912

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 8700/213,8750/912

Given fractions are 8700/213,8750/912

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 8700,8750

Greatest Common Factor of Numerators i.e. GCF of 8700,8750 is 50 .

LCM of Denominators means LCM of 213,912 as per the given fractions.

LCM of 213,912 is 64752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8700,8750

GCF of Fractions 8700/213,8750/912 is 50/64752

2 8700, 8750
5 4350, 4375
5 870, 875
174, 175

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 8700,8750 By Matching Biggest Common Factor Method

Greatest Common Factor of 8700,8750 By Matching Biggest Common Factor Method

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Greatest Common Factor

We found the factors 8700,8750 . The biggest common factor number is the GCF number.
So the greatest common factor 8700,8750 is 50.

Lets's calculate LCM of 213,912

3 213, 912
71, 304

∴ So the LCM of the given numbers is 3 x 71 x 304 = 64752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/64752

Therefore, the GCF of Fractions 8700/213,8750/912 is 50/64752

Least Common Multiple of 213,912 with GCF Formula

Least Common Multiple of 213,912 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 213,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,912) = 3

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

GCF(213,912) x common factors =3 x 1 = 3

LCM(213,912) = ( 213 × 912 ) / 3

LCM(213,912) = 194256 / 3

LCM(213,912) = 64752


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 8700/213, 8750/912

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 8700/213, 8750/912?

Answer: GCF of Numerators as per given numbers 8700/213, 8750/912 is

GCF of Numerators i.e. for 8700,8750 is 50

LCM of denominators i.e. for 213,912 is 64752.

Thus, GCF of Fractions is 50/64752.Finally, GCF of Fractions for 8700/213, 8750/912 is 50/64752.