Greatest Common Factor of 90/781, 870/863, 813/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/781, 870/863, 813/230

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 90/781,870/863,813/230

Given fractions are 90/781,870/863,813/230

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 90,870,813

Greatest Common Factor of Numerators i.e. GCF of 90,870,813 is 3 .

LCM of Denominators means LCM of 781,863,230 as per the given fractions.

LCM of 781,863,230 is 155020690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,870,813

GCF of Fractions 90/781,870/863,813/230 is 3/155020690

3 90, 870, 813
30, 290, 271

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

Greatest Common Factor of 90,870,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,870,813 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 90,870,813 . The biggest common factor number is the GCF number.
So the greatest common factor 90,870,813 is 3.

Lets's calculate LCM of 781,863,230

Given numbers has no common factors except 1. So, there LCM is their product i.e 155020690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155020690

Therefore, the GCF of Fractions 90/781,870/863,813/230 is 3/155020690

Least Common Multiple of 781,863,230 with GCF Formula

Least Common Multiple of 781,863,230 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 781,863,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,863,230) = 1

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

GCF(781,863,230) x common factors =1 x 1 = 1

LCM(781,863,230) = ( 781 × 863 × 230 ) / 1

LCM(781,863,230) = 155020690 / 1

LCM(781,863,230) = 155020690


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 90/781, 870/863, 813/230

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 90/781, 870/863, 813/230?

Answer: GCF of Numerators as per given numbers 90/781, 870/863, 813/230 is

GCF of Numerators i.e. for 90,870,813 is 3

LCM of denominators i.e. for 781,863,230 is 155020690.

Thus, GCF of Fractions is 3/155020690.Finally, GCF of Fractions for 90/781, 870/863, 813/230 is 3/155020690.