Greatest Common Factor of 828/743, 610/265, 474/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/743, 610/265, 474/209

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 828/743,610/265,474/209

Given fractions are 828/743,610/265,474/209

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 828,610,474

Greatest Common Factor of Numerators i.e. GCF of 828,610,474 is 2 .

LCM of Denominators means LCM of 743,265,209 as per the given fractions.

LCM of 743,265,209 is 41151055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,610,474

GCF of Fractions 828/743,610/265,474/209 is 2/41151055

2 828, 610, 474
414, 305, 237

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

Greatest Common Factor of 828,610,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,610,474 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 828,610,474 . The biggest common factor number is the GCF number.
So the greatest common factor 828,610,474 is 2.

Lets's calculate LCM of 743,265,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 41151055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41151055

Therefore, the GCF of Fractions 828/743,610/265,474/209 is 2/41151055

Least Common Multiple of 743,265,209 with GCF Formula

Least Common Multiple of 743,265,209 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 743,265,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,265,209) = 1

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

GCF(743,265,209) x common factors =1 x 1 = 1

LCM(743,265,209) = ( 743 × 265 × 209 ) / 1

LCM(743,265,209) = 41151055 / 1

LCM(743,265,209) = 41151055


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 828/743, 610/265, 474/209

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 828/743, 610/265, 474/209?

Answer: GCF of Numerators as per given numbers 828/743, 610/265, 474/209 is

GCF of Numerators i.e. for 828,610,474 is 2

LCM of denominators i.e. for 743,265,209 is 41151055.

Thus, GCF of Fractions is 2/41151055.Finally, GCF of Fractions for 828/743, 610/265, 474/209 is 2/41151055.