Greatest Common Factor of 3899/37, 9756/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3899/37, 9756/830

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 3899/37,9756/830

Given fractions are 3899/37,9756/830

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 3899,9756

Greatest Common Factor of Numerators i.e. GCF of 3899,9756 is 1 .

LCM of Denominators means LCM of 37,830 as per the given fractions.

LCM of 37,830 is 30710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3899,9756

GCF of Fractions 3899/37,9756/830 is 1/30710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3899,9756 By Matching Biggest Common Factor Method

Greatest Common Factor of 3899,9756 By Matching Biggest Common Factor Method

Factors of 3899

List of positive integer factors of 3899 that divides 3899 without a remainder.

1,7,557,3899

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Greatest Common Factor

We found the factors 3899,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 3899,9756 is 1.

Lets's calculate LCM of 37,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 30710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30710

Therefore, the GCF of Fractions 3899/37,9756/830 is 1/30710

Least Common Multiple of 37,830 with GCF Formula

Least Common Multiple of 37,830 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 37,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,830) = 1

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

GCF(37,830) x common factors =1 x 1 = 1

LCM(37,830) = ( 37 × 830 ) / 1

LCM(37,830) = 30710 / 1

LCM(37,830) = 30710


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 3899/37, 9756/830

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 3899/37, 9756/830?

Answer: GCF of Numerators as per given numbers 3899/37, 9756/830 is

GCF of Numerators i.e. for 3899,9756 is 1

LCM of denominators i.e. for 37,830 is 30710.

Thus, GCF of Fractions is 1/30710.Finally, GCF of Fractions for 3899/37, 9756/830 is 1/30710.