Greatest Common Factor of 9645/849, 5537/8174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9645/849, 5537/8174

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 9645/849,5537/8174

Given fractions are 9645/849,5537/8174

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 9645,5537

Greatest Common Factor of Numerators i.e. GCF of 9645,5537 is 1 .

LCM of Denominators means LCM of 849,8174 as per the given fractions.

LCM of 849,8174 is 6939726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9645,5537

GCF of Fractions 9645/849,5537/8174 is 1/6939726

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

Greatest Common Factor of 9645,5537 By Matching Biggest Common Factor Method

Greatest Common Factor of 9645,5537 By Matching Biggest Common Factor Method

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1,3,5,15,643,1929,3215,9645

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1,7,49,113,791,5537

Greatest Common Factor

We found the factors 9645,5537 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,5537 is 1.

Lets's calculate LCM of 849,8174

Given numbers has no common factors except 1. So, there LCM is their product i.e 6939726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6939726

Therefore, the GCF of Fractions 9645/849,5537/8174 is 1/6939726

Least Common Multiple of 849,8174 with GCF Formula

Least Common Multiple of 849,8174 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 849,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,8174) = 1

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

GCF(849,8174) x common factors =1 x 1 = 1

LCM(849,8174) = ( 849 × 8174 ) / 1

LCM(849,8174) = 6939726 / 1

LCM(849,8174) = 6939726


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 9645/849, 5537/8174

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 9645/849, 5537/8174?

Answer: GCF of Numerators as per given numbers 9645/849, 5537/8174 is

GCF of Numerators i.e. for 9645,5537 is 1

LCM of denominators i.e. for 849,8174 is 6939726.

Thus, GCF of Fractions is 1/6939726.Finally, GCF of Fractions for 9645/849, 5537/8174 is 1/6939726.