Greatest Common Factor of 9364/69, 3103/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9364/69, 3103/455

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 9364/69,3103/455

Given fractions are 9364/69,3103/455

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 9364,3103

Greatest Common Factor of Numerators i.e. GCF of 9364,3103 is 1 .

LCM of Denominators means LCM of 69,455 as per the given fractions.

LCM of 69,455 is 31395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9364,3103

GCF of Fractions 9364/69,3103/455 is 1/31395

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

Greatest Common Factor of 9364,3103 By Matching Biggest Common Factor Method

Greatest Common Factor of 9364,3103 By Matching Biggest Common Factor Method

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1,2,4,2341,4682,9364

Factors of 3103

List of positive integer factors of 3103 that divides 3103 without a remainder.

1,29,107,3103

Greatest Common Factor

We found the factors 9364,3103 . The biggest common factor number is the GCF number.
So the greatest common factor 9364,3103 is 1.

Lets's calculate LCM of 69,455

Given numbers has no common factors except 1. So, there LCM is their product i.e 31395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31395

Therefore, the GCF of Fractions 9364/69,3103/455 is 1/31395

Least Common Multiple of 69,455 with GCF Formula

Least Common Multiple of 69,455 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 69,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,455) = 1

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

GCF(69,455) x common factors =1 x 1 = 1

LCM(69,455) = ( 69 × 455 ) / 1

LCM(69,455) = 31395 / 1

LCM(69,455) = 31395


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 9364/69, 3103/455

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 9364/69, 3103/455?

Answer: GCF of Numerators as per given numbers 9364/69, 3103/455 is

GCF of Numerators i.e. for 9364,3103 is 1

LCM of denominators i.e. for 69,455 is 31395.

Thus, GCF of Fractions is 1/31395.Finally, GCF of Fractions for 9364/69, 3103/455 is 1/31395.