Greatest Common Factor of 878/66, 818/24, 800/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/66, 818/24, 800/492

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 878/66,818/24,800/492

Given fractions are 878/66,818/24,800/492

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 878,818,800

Greatest Common Factor of Numerators i.e. GCF of 878,818,800 is 2 .

LCM of Denominators means LCM of 66,24,492 as per the given fractions.

LCM of 66,24,492 is 10824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,818,800

GCF of Fractions 878/66,818/24,800/492 is 2/10824

2 878, 818, 800
439, 409, 400

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

Greatest Common Factor of 878,818,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,818,800 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 878,818,800 . The biggest common factor number is the GCF number.
So the greatest common factor 878,818,800 is 2.

Lets's calculate LCM of 66,24,492

2 66, 24, 492
2 33, 12, 246
3 33, 6, 123
11, 2, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 41 = 10824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10824

Therefore, the GCF of Fractions 878/66,818/24,800/492 is 2/10824

Least Common Multiple of 66,24,492 with GCF Formula

Least Common Multiple of 66,24,492 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 66,24,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,24,492) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(66,24,492) x common factors =6 x 12 = 72

LCM(66,24,492) = ( 66 × 24 × 492 ) / 72

LCM(66,24,492) = 779328 / 72

LCM(66,24,492) = 10824


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 878/66, 818/24, 800/492

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 878/66, 818/24, 800/492?

Answer: GCF of Numerators as per given numbers 878/66, 818/24, 800/492 is

GCF of Numerators i.e. for 878,818,800 is 2

LCM of denominators i.e. for 66,24,492 is 10824.

Thus, GCF of Fractions is 2/10824.Finally, GCF of Fractions for 878/66, 818/24, 800/492 is 2/10824.