Greatest Common Factor of 207/88, 282/76, 186/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/88, 282/76, 186/867

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 207/88,282/76,186/867

Given fractions are 207/88,282/76,186/867

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 207,282,186

Greatest Common Factor of Numerators i.e. GCF of 207,282,186 is 3 .

LCM of Denominators means LCM of 88,76,867 as per the given fractions.

LCM of 88,76,867 is 1449624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,282,186

GCF of Fractions 207/88,282/76,186/867 is 3/1449624

3 207, 282, 186
69, 94, 62

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

Greatest Common Factor of 207,282,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,282,186 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 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 207,282,186 . The biggest common factor number is the GCF number.
So the greatest common factor 207,282,186 is 3.

Lets's calculate LCM of 88,76,867

2 88, 76, 867
2 44, 38, 867
22, 19, 867

∴ So the LCM of the given numbers is 2 x 2 x 22 x 19 x 867 = 1449624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1449624

Therefore, the GCF of Fractions 207/88,282/76,186/867 is 3/1449624

Least Common Multiple of 88,76,867 with GCF Formula

Least Common Multiple of 88,76,867 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 88,76,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,76,867) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,76,867) x common factors =1 x 4 = 4

LCM(88,76,867) = ( 88 × 76 × 867 ) / 4

LCM(88,76,867) = 5798496 / 4

LCM(88,76,867) = 1449624


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 207/88, 282/76, 186/867

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 207/88, 282/76, 186/867?

Answer: GCF of Numerators as per given numbers 207/88, 282/76, 186/867 is

GCF of Numerators i.e. for 207,282,186 is 3

LCM of denominators i.e. for 88,76,867 is 1449624.

Thus, GCF of Fractions is 3/1449624.Finally, GCF of Fractions for 207/88, 282/76, 186/867 is 3/1449624.