Greatest Common Factor of 3829/662, 7245/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3829/662, 7245/244

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 3829/662,7245/244

Given fractions are 3829/662,7245/244

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 3829,7245

Greatest Common Factor of Numerators i.e. GCF of 3829,7245 is 7 .

LCM of Denominators means LCM of 662,244 as per the given fractions.

LCM of 662,244 is 80764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3829,7245

GCF of Fractions 3829/662,7245/244 is 7/80764

7 3829, 7245
547, 1035

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3829,7245 By Matching Biggest Common Factor Method

Greatest Common Factor of 3829,7245 By Matching Biggest Common Factor Method

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245

Greatest Common Factor

We found the factors 3829,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 3829,7245 is 7.

Lets's calculate LCM of 662,244

2 662, 244
331, 122

∴ So the LCM of the given numbers is 2 x 331 x 122 = 80764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/80764

Therefore, the GCF of Fractions 3829/662,7245/244 is 7/80764

Least Common Multiple of 662,244 with GCF Formula

Least Common Multiple of 662,244 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 662,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,244) = 2

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

GCF(662,244) x common factors =2 x 1 = 2

LCM(662,244) = ( 662 × 244 ) / 2

LCM(662,244) = 161528 / 2

LCM(662,244) = 80764


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 3829/662, 7245/244

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 3829/662, 7245/244?

Answer: GCF of Numerators as per given numbers 3829/662, 7245/244 is

GCF of Numerators i.e. for 3829,7245 is 7

LCM of denominators i.e. for 662,244 is 80764.

Thus, GCF of Fractions is 7/80764.Finally, GCF of Fractions for 3829/662, 7245/244 is 7/80764.