Greatest Common Factor of 9038/511, 3489/3268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9038/511, 3489/3268

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 9038/511,3489/3268

Given fractions are 9038/511,3489/3268

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 9038,3489

Greatest Common Factor of Numerators i.e. GCF of 9038,3489 is 1 .

LCM of Denominators means LCM of 511,3268 as per the given fractions.

LCM of 511,3268 is 1669948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9038,3489

GCF of Fractions 9038/511,3489/3268 is 1/1669948

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

Greatest Common Factor of 9038,3489 By Matching Biggest Common Factor Method

Greatest Common Factor of 9038,3489 By Matching Biggest Common Factor Method

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1,2,4519,9038

Factors of 3489

List of positive integer factors of 3489 that divides 3489 without a remainder.

1,3,1163,3489

Greatest Common Factor

We found the factors 9038,3489 . The biggest common factor number is the GCF number.
So the greatest common factor 9038,3489 is 1.

Lets's calculate LCM of 511,3268

Given numbers has no common factors except 1. So, there LCM is their product i.e 1669948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669948

Therefore, the GCF of Fractions 9038/511,3489/3268 is 1/1669948

Least Common Multiple of 511,3268 with GCF Formula

Least Common Multiple of 511,3268 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 511,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,3268) = 1

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

GCF(511,3268) x common factors =1 x 1 = 1

LCM(511,3268) = ( 511 × 3268 ) / 1

LCM(511,3268) = 1669948 / 1

LCM(511,3268) = 1669948


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 9038/511, 3489/3268

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 9038/511, 3489/3268?

Answer: GCF of Numerators as per given numbers 9038/511, 3489/3268 is

GCF of Numerators i.e. for 9038,3489 is 1

LCM of denominators i.e. for 511,3268 is 1669948.

Thus, GCF of Fractions is 1/1669948.Finally, GCF of Fractions for 9038/511, 3489/3268 is 1/1669948.