Greatest Common Factor of 828/930, 3447/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/930, 3447/440

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 828/930,3447/440

Given fractions are 828/930,3447/440

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 828,3447

Greatest Common Factor of Numerators i.e. GCF of 828,3447 is 9 .

LCM of Denominators means LCM of 930,440 as per the given fractions.

LCM of 930,440 is 40920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,3447

GCF of Fractions 828/930,3447/440 is 9/40920

3 828, 3447
3 276, 1149
92, 383

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 828,3447 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,3447 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 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Greatest Common Factor

We found the factors 828,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 828,3447 is 9.

Lets's calculate LCM of 930,440

2 930, 440
5 465, 220
93, 44

∴ So the LCM of the given numbers is 2 x 5 x 93 x 44 = 40920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/40920

Therefore, the GCF of Fractions 828/930,3447/440 is 9/40920

Least Common Multiple of 930,440 with GCF Formula

Least Common Multiple of 930,440 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 930,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,440) = 10

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

GCF(930,440) x common factors =10 x 1 = 10

LCM(930,440) = ( 930 × 440 ) / 10

LCM(930,440) = 409200 / 10

LCM(930,440) = 40920


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 828/930, 3447/440

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 828/930, 3447/440?

Answer: GCF of Numerators as per given numbers 828/930, 3447/440 is

GCF of Numerators i.e. for 828,3447 is 9

LCM of denominators i.e. for 930,440 is 40920.

Thus, GCF of Fractions is 9/40920.Finally, GCF of Fractions for 828/930, 3447/440 is 9/40920.