Greatest Common Factor of 7036/509, 2096/9498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7036/509, 2096/9498

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 7036/509,2096/9498

Given fractions are 7036/509,2096/9498

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 7036,2096

Greatest Common Factor of Numerators i.e. GCF of 7036,2096 is 4 .

LCM of Denominators means LCM of 509,9498 as per the given fractions.

LCM of 509,9498 is 4834482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7036,2096

GCF of Fractions 7036/509,2096/9498 is 4/4834482

2 7036, 2096
2 3518, 1048
1759, 524

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

Greatest Common Factor of 7036,2096 By Matching Biggest Common Factor Method

Greatest Common Factor of 7036,2096 By Matching Biggest Common Factor Method

Factors of 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1,2,4,1759,3518,7036

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1,2,4,8,16,131,262,524,1048,2096

Greatest Common Factor

We found the factors 7036,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 7036,2096 is 4.

Lets's calculate LCM of 509,9498

Given numbers has no common factors except 1. So, there LCM is their product i.e 4834482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4834482

Therefore, the GCF of Fractions 7036/509,2096/9498 is 4/4834482

Least Common Multiple of 509,9498 with GCF Formula

Least Common Multiple of 509,9498 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 509,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,9498) = 1

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

GCF(509,9498) x common factors =1 x 1 = 1

LCM(509,9498) = ( 509 × 9498 ) / 1

LCM(509,9498) = 4834482 / 1

LCM(509,9498) = 4834482


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 7036/509, 2096/9498

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 7036/509, 2096/9498?

Answer: GCF of Numerators as per given numbers 7036/509, 2096/9498 is

GCF of Numerators i.e. for 7036,2096 is 4

LCM of denominators i.e. for 509,9498 is 4834482.

Thus, GCF of Fractions is 4/4834482.Finally, GCF of Fractions for 7036/509, 2096/9498 is 4/4834482.