Greatest Common Factor of 3800/768, 3430/9573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3800/768, 3430/9573

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 3800/768,3430/9573

Given fractions are 3800/768,3430/9573

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 3800,3430

Greatest Common Factor of Numerators i.e. GCF of 3800,3430 is 10 .

LCM of Denominators means LCM of 768,9573 as per the given fractions.

LCM of 768,9573 is 2450688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3800,3430

GCF of Fractions 3800/768,3430/9573 is 10/2450688

2 3800, 3430
5 1900, 1715
380, 343

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3800,3430 By Matching Biggest Common Factor Method

Greatest Common Factor of 3800,3430 By Matching Biggest Common Factor Method

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430

Greatest Common Factor

We found the factors 3800,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 3800,3430 is 10.

Lets's calculate LCM of 768,9573

3 768, 9573
256, 3191

∴ So the LCM of the given numbers is 3 x 256 x 3191 = 2450688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2450688

Therefore, the GCF of Fractions 3800/768,3430/9573 is 10/2450688

Least Common Multiple of 768,9573 with GCF Formula

Least Common Multiple of 768,9573 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 768,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,9573) = 3

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

GCF(768,9573) x common factors =3 x 1 = 3

LCM(768,9573) = ( 768 × 9573 ) / 3

LCM(768,9573) = 7352064 / 3

LCM(768,9573) = 2450688


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 3800/768, 3430/9573

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 3800/768, 3430/9573?

Answer: GCF of Numerators as per given numbers 3800/768, 3430/9573 is

GCF of Numerators i.e. for 3800,3430 is 10

LCM of denominators i.e. for 768,9573 is 2450688.

Thus, GCF of Fractions is 10/2450688.Finally, GCF of Fractions for 3800/768, 3430/9573 is 10/2450688.