Greatest Common Factor of 9751/36, 1930/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9751/36, 1930/333

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 9751/36,1930/333

Given fractions are 9751/36,1930/333

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 9751,1930

Greatest Common Factor of Numerators i.e. GCF of 9751,1930 is 1 .

LCM of Denominators means LCM of 36,333 as per the given fractions.

LCM of 36,333 is 1332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9751,1930

GCF of Fractions 9751/36,1930/333 is 1/1332

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

Greatest Common Factor of 9751,1930 By Matching Biggest Common Factor Method

Greatest Common Factor of 9751,1930 By Matching Biggest Common Factor Method

Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1,7,49,199,1393,9751

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1,2,5,10,193,386,965,1930

Greatest Common Factor

We found the factors 9751,1930 . The biggest common factor number is the GCF number.
So the greatest common factor 9751,1930 is 1.

Lets's calculate LCM of 36,333

3 36, 333
3 12, 111
4, 37

∴ So the LCM of the given numbers is 3 x 3 x 4 x 37 = 1332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1332

Therefore, the GCF of Fractions 9751/36,1930/333 is 1/1332

Least Common Multiple of 36,333 with GCF Formula

Least Common Multiple of 36,333 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 36,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,333) = 9

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

GCF(36,333) x common factors =9 x 1 = 9

LCM(36,333) = ( 36 × 333 ) / 9

LCM(36,333) = 11988 / 9

LCM(36,333) = 1332


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 9751/36, 1930/333

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 9751/36, 1930/333?

Answer: GCF of Numerators as per given numbers 9751/36, 1930/333 is

GCF of Numerators i.e. for 9751,1930 is 1

LCM of denominators i.e. for 36,333 is 1332.

Thus, GCF of Fractions is 1/1332.Finally, GCF of Fractions for 9751/36, 1930/333 is 1/1332.