Greatest Common Factor of 3830/37, 2846/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3830/37, 2846/224

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 3830/37,2846/224

Given fractions are 3830/37,2846/224

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 3830,2846

Greatest Common Factor of Numerators i.e. GCF of 3830,2846 is 2 .

LCM of Denominators means LCM of 37,224 as per the given fractions.

LCM of 37,224 is 8288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3830,2846

GCF of Fractions 3830/37,2846/224 is 2/8288

2 3830, 2846
1915, 1423

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

Greatest Common Factor of 3830,2846 By Matching Biggest Common Factor Method

Greatest Common Factor of 3830,2846 By Matching Biggest Common Factor Method

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Factors of 2846

List of positive integer factors of 2846 that divides 2846 without a remainder.

1,2,1423,2846

Greatest Common Factor

We found the factors 3830,2846 . The biggest common factor number is the GCF number.
So the greatest common factor 3830,2846 is 2.

Lets's calculate LCM of 37,224

Given numbers has no common factors except 1. So, there LCM is their product i.e 8288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8288

Therefore, the GCF of Fractions 3830/37,2846/224 is 2/8288

Least Common Multiple of 37,224 with GCF Formula

Least Common Multiple of 37,224 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 37,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,224) = 1

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

GCF(37,224) x common factors =1 x 1 = 1

LCM(37,224) = ( 37 × 224 ) / 1

LCM(37,224) = 8288 / 1

LCM(37,224) = 8288


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 3830/37, 2846/224

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 3830/37, 2846/224?

Answer: GCF of Numerators as per given numbers 3830/37, 2846/224 is

GCF of Numerators i.e. for 3830,2846 is 2

LCM of denominators i.e. for 37,224 is 8288.

Thus, GCF of Fractions is 2/8288.Finally, GCF of Fractions for 3830/37, 2846/224 is 2/8288.