Greatest Common Factor of 7385/201, 9649/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7385/201, 9649/317

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 7385/201,9649/317

Given fractions are 7385/201,9649/317

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 7385,9649

Greatest Common Factor of Numerators i.e. GCF of 7385,9649 is 1 .

LCM of Denominators means LCM of 201,317 as per the given fractions.

LCM of 201,317 is 63717 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7385,9649

GCF of Fractions 7385/201,9649/317 is 1/63717

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

Greatest Common Factor of 7385,9649 By Matching Biggest Common Factor Method

Greatest Common Factor of 7385,9649 By Matching Biggest Common Factor Method

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Greatest Common Factor

We found the factors 7385,9649 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,9649 is 1.

Lets's calculate LCM of 201,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 63717

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63717

Therefore, the GCF of Fractions 7385/201,9649/317 is 1/63717

Least Common Multiple of 201,317 with GCF Formula

Least Common Multiple of 201,317 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 201,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,317) = 1

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

GCF(201,317) x common factors =1 x 1 = 1

LCM(201,317) = ( 201 × 317 ) / 1

LCM(201,317) = 63717 / 1

LCM(201,317) = 63717


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 7385/201, 9649/317

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 7385/201, 9649/317?

Answer: GCF of Numerators as per given numbers 7385/201, 9649/317 is

GCF of Numerators i.e. for 7385,9649 is 1

LCM of denominators i.e. for 201,317 is 63717.

Thus, GCF of Fractions is 1/63717.Finally, GCF of Fractions for 7385/201, 9649/317 is 1/63717.