Greatest Common Factor of 824/470, 8116/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/470, 8116/562

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 824/470,8116/562

Given fractions are 824/470,8116/562

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 824,8116

Greatest Common Factor of Numerators i.e. GCF of 824,8116 is 4 .

LCM of Denominators means LCM of 470,562 as per the given fractions.

LCM of 470,562 is 132070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,8116

GCF of Fractions 824/470,8116/562 is 4/132070

2 824, 8116
2 412, 4058
206, 2029

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

Greatest Common Factor of 824,8116 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,8116 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 8116

List of positive integer factors of 8116 that divides 8116 without a remainder.

1,2,4,2029,4058,8116

Greatest Common Factor

We found the factors 824,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 824,8116 is 4.

Lets's calculate LCM of 470,562

2 470, 562
235, 281

∴ So the LCM of the given numbers is 2 x 235 x 281 = 132070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/132070

Therefore, the GCF of Fractions 824/470,8116/562 is 4/132070

Least Common Multiple of 470,562 with GCF Formula

Least Common Multiple of 470,562 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 470,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,562) = 2

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

GCF(470,562) x common factors =2 x 1 = 2

LCM(470,562) = ( 470 × 562 ) / 2

LCM(470,562) = 264140 / 2

LCM(470,562) = 132070


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 824/470, 8116/562

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 824/470, 8116/562?

Answer: GCF of Numerators as per given numbers 824/470, 8116/562 is

GCF of Numerators i.e. for 824,8116 is 4

LCM of denominators i.e. for 470,562 is 132070.

Thus, GCF of Fractions is 4/132070.Finally, GCF of Fractions for 824/470, 8116/562 is 4/132070.