Greatest Common Factor of 4018/65, 9128/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4018/65, 9128/139

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 4018/65,9128/139

Given fractions are 4018/65,9128/139

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 4018,9128

Greatest Common Factor of Numerators i.e. GCF of 4018,9128 is 14 .

LCM of Denominators means LCM of 65,139 as per the given fractions.

LCM of 65,139 is 9035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4018,9128

GCF of Fractions 4018/65,9128/139 is 14/9035

2 4018, 9128
7 2009, 4564
287, 652

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4018,9128 By Matching Biggest Common Factor Method

Greatest Common Factor of 4018,9128 By Matching Biggest Common Factor Method

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors 4018,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,9128 is 14.

Lets's calculate LCM of 65,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 9035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/9035

Therefore, the GCF of Fractions 4018/65,9128/139 is 14/9035

Least Common Multiple of 65,139 with GCF Formula

Least Common Multiple of 65,139 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 65,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,139) = 1

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

GCF(65,139) x common factors =1 x 1 = 1

LCM(65,139) = ( 65 × 139 ) / 1

LCM(65,139) = 9035 / 1

LCM(65,139) = 9035


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 4018/65, 9128/139

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 4018/65, 9128/139?

Answer: GCF of Numerators as per given numbers 4018/65, 9128/139 is

GCF of Numerators i.e. for 4018,9128 is 14

LCM of denominators i.e. for 65,139 is 9035.

Thus, GCF of Fractions is 14/9035.Finally, GCF of Fractions for 4018/65, 9128/139 is 14/9035.