Greatest Common Factor of 9733/565, 7688/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9733/565, 7688/386

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 9733/565,7688/386

Given fractions are 9733/565,7688/386

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 9733,7688

Greatest Common Factor of Numerators i.e. GCF of 9733,7688 is 1 .

LCM of Denominators means LCM of 565,386 as per the given fractions.

LCM of 565,386 is 218090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9733,7688

GCF of Fractions 9733/565,7688/386 is 1/218090

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

Greatest Common Factor of 9733,7688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9733,7688 By Matching Biggest Common Factor Method

Factors of 9733

List of positive integer factors of 9733 that divides 9733 without a remainder.

1,9733

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors 9733,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 9733,7688 is 1.

Lets's calculate LCM of 565,386

Given numbers has no common factors except 1. So, there LCM is their product i.e 218090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218090

Therefore, the GCF of Fractions 9733/565,7688/386 is 1/218090

Least Common Multiple of 565,386 with GCF Formula

Least Common Multiple of 565,386 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 565,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,386) = 1

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

GCF(565,386) x common factors =1 x 1 = 1

LCM(565,386) = ( 565 × 386 ) / 1

LCM(565,386) = 218090 / 1

LCM(565,386) = 218090


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 9733/565, 7688/386

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 9733/565, 7688/386?

Answer: GCF of Numerators as per given numbers 9733/565, 7688/386 is

GCF of Numerators i.e. for 9733,7688 is 1

LCM of denominators i.e. for 565,386 is 218090.

Thus, GCF of Fractions is 1/218090.Finally, GCF of Fractions for 9733/565, 7688/386 is 1/218090.