Greatest Common Factor of 824/824, 510/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/824, 510/850

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 824/824,510/850

Given fractions are 824/824,510/850

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 824,510

Greatest Common Factor of Numerators i.e. GCF of 824,510 is 2 .

LCM of Denominators means LCM of 824,850 as per the given fractions.

LCM of 824,850 is 350200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,510

GCF of Fractions 824/824,510/850 is 2/350200

2 824, 510
412, 255

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

Greatest Common Factor of 824,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,510 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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 824,510 . The biggest common factor number is the GCF number.
So the greatest common factor 824,510 is 2.

Lets's calculate LCM of 824,850

2 824, 850
412, 425

∴ So the LCM of the given numbers is 2 x 412 x 425 = 350200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/350200

Therefore, the GCF of Fractions 824/824,510/850 is 2/350200

Least Common Multiple of 824,850 with GCF Formula

Least Common Multiple of 824,850 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 824,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,850) = 2

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

GCF(824,850) x common factors =2 x 1 = 2

LCM(824,850) = ( 824 × 850 ) / 2

LCM(824,850) = 700400 / 2

LCM(824,850) = 350200


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 824/824, 510/850

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 824/824, 510/850?

Answer: GCF of Numerators as per given numbers 824/824, 510/850 is

GCF of Numerators i.e. for 824,510 is 2

LCM of denominators i.e. for 824,850 is 350200.

Thus, GCF of Fractions is 2/350200.Finally, GCF of Fractions for 824/824, 510/850 is 2/350200.