Greatest Common Factor of 448/502, 316/800, 844/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/502, 316/800, 844/585

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 448/502,316/800,844/585

Given fractions are 448/502,316/800,844/585

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 448,316,844

Greatest Common Factor of Numerators i.e. GCF of 448,316,844 is 4 .

LCM of Denominators means LCM of 502,800,585 as per the given fractions.

LCM of 502,800,585 is 23493600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,316,844

GCF of Fractions 448/502,316/800,844/585 is 4/23493600

2 448, 316, 844
2 224, 158, 422
112, 79, 211

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 448,316,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,316,844 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 448,316,844 . The biggest common factor number is the GCF number.
So the greatest common factor 448,316,844 is 4.

Lets's calculate LCM of 502,800,585

2 502, 800, 585
5 251, 400, 585
251, 80, 117

∴ So the LCM of the given numbers is 2 x 5 x 251 x 80 x 117 = 23493600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23493600

Therefore, the GCF of Fractions 448/502,316/800,844/585 is 4/23493600

Least Common Multiple of 502,800,585 with GCF Formula

Least Common Multiple of 502,800,585 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 502,800,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,800,585) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(502,800,585) x common factors =1 x 10 = 10

LCM(502,800,585) = ( 502 × 800 × 585 ) / 10

LCM(502,800,585) = 234936000 / 10

LCM(502,800,585) = 23493600


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 448/502, 316/800, 844/585

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 448/502, 316/800, 844/585?

Answer: GCF of Numerators as per given numbers 448/502, 316/800, 844/585 is

GCF of Numerators i.e. for 448,316,844 is 4

LCM of denominators i.e. for 502,800,585 is 23493600.

Thus, GCF of Fractions is 4/23493600.Finally, GCF of Fractions for 448/502, 316/800, 844/585 is 4/23493600.