Greatest Common Factor of 9693/65, 1954/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9693/65, 1954/930

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 9693/65,1954/930

Given fractions are 9693/65,1954/930

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 9693,1954

Greatest Common Factor of Numerators i.e. GCF of 9693,1954 is 1 .

LCM of Denominators means LCM of 65,930 as per the given fractions.

LCM of 65,930 is 12090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9693,1954

GCF of Fractions 9693/65,1954/930 is 1/12090

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

Greatest Common Factor of 9693,1954 By Matching Biggest Common Factor Method

Greatest Common Factor of 9693,1954 By Matching Biggest Common Factor Method

Factors of 9693

List of positive integer factors of 9693 that divides 9693 without a remainder.

1,3,9,27,359,1077,3231,9693

Factors of 1954

List of positive integer factors of 1954 that divides 1954 without a remainder.

1,2,977,1954

Greatest Common Factor

We found the factors 9693,1954 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,1954 is 1.

Lets's calculate LCM of 65,930

5 65, 930
13, 186

∴ So the LCM of the given numbers is 5 x 13 x 186 = 12090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12090

Therefore, the GCF of Fractions 9693/65,1954/930 is 1/12090

Least Common Multiple of 65,930 with GCF Formula

Least Common Multiple of 65,930 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 65,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,930) = 5

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

GCF(65,930) x common factors =5 x 1 = 5

LCM(65,930) = ( 65 × 930 ) / 5

LCM(65,930) = 60450 / 5

LCM(65,930) = 12090


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 9693/65, 1954/930

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 9693/65, 1954/930?

Answer: GCF of Numerators as per given numbers 9693/65, 1954/930 is

GCF of Numerators i.e. for 9693,1954 is 1

LCM of denominators i.e. for 65,930 is 12090.

Thus, GCF of Fractions is 1/12090.Finally, GCF of Fractions for 9693/65, 1954/930 is 1/12090.