Greatest Common Factor of 286/84, 807/77, 150/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/84, 807/77, 150/823

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 286/84,807/77,150/823

Given fractions are 286/84,807/77,150/823

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 286,807,150

Greatest Common Factor of Numerators i.e. GCF of 286,807,150 is 1 .

LCM of Denominators means LCM of 84,77,823 as per the given fractions.

LCM of 84,77,823 is 760452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,807,150

GCF of Fractions 286/84,807/77,150/823 is 1/760452

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 286,807,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,807,150 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 286,807,150 . The biggest common factor number is the GCF number.
So the greatest common factor 286,807,150 is 1.

Lets's calculate LCM of 84,77,823

7 84, 77, 823
12, 11, 823

∴ So the LCM of the given numbers is 7 x 12 x 11 x 823 = 760452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760452

Therefore, the GCF of Fractions 286/84,807/77,150/823 is 1/760452

Least Common Multiple of 84,77,823 with GCF Formula

Least Common Multiple of 84,77,823 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 84,77,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,77,823) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,77,823) x common factors =1 x 7 = 7

LCM(84,77,823) = ( 84 × 77 × 823 ) / 7

LCM(84,77,823) = 5323164 / 7

LCM(84,77,823) = 760452


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 286/84, 807/77, 150/823

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 286/84, 807/77, 150/823?

Answer: GCF of Numerators as per given numbers 286/84, 807/77, 150/823 is

GCF of Numerators i.e. for 286,807,150 is 1

LCM of denominators i.e. for 84,77,823 is 760452.

Thus, GCF of Fractions is 1/760452.Finally, GCF of Fractions for 286/84, 807/77, 150/823 is 1/760452.