Greatest Common Factor of 9544/437, 8476/3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9544/437, 8476/3309

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 9544/437,8476/3309

Given fractions are 9544/437,8476/3309

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 9544,8476

Greatest Common Factor of Numerators i.e. GCF of 9544,8476 is 4 .

LCM of Denominators means LCM of 437,3309 as per the given fractions.

LCM of 437,3309 is 1446033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9544,8476

GCF of Fractions 9544/437,8476/3309 is 4/1446033

2 9544, 8476
2 4772, 4238
2386, 2119

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9544,8476 By Matching Biggest Common Factor Method

Greatest Common Factor of 9544,8476 By Matching Biggest Common Factor Method

Factors of 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1,2,4,8,1193,2386,4772,9544

Factors of 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1,2,4,13,26,52,163,326,652,2119,4238,8476

Greatest Common Factor

We found the factors 9544,8476 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,8476 is 4.

Lets's calculate LCM of 437,3309

Given numbers has no common factors except 1. So, there LCM is their product i.e 1446033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1446033

Therefore, the GCF of Fractions 9544/437,8476/3309 is 4/1446033

Least Common Multiple of 437,3309 with GCF Formula

Least Common Multiple of 437,3309 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 437,3309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,3309) = 1

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

GCF(437,3309) x common factors =1 x 1 = 1

LCM(437,3309) = ( 437 × 3309 ) / 1

LCM(437,3309) = 1446033 / 1

LCM(437,3309) = 1446033


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 9544/437, 8476/3309

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 9544/437, 8476/3309?

Answer: GCF of Numerators as per given numbers 9544/437, 8476/3309 is

GCF of Numerators i.e. for 9544,8476 is 4

LCM of denominators i.e. for 437,3309 is 1446033.

Thus, GCF of Fractions is 4/1446033.Finally, GCF of Fractions for 9544/437, 8476/3309 is 4/1446033.