Greatest Common Factor of 8506/494, 2503/9782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8506/494, 2503/9782

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 8506/494,2503/9782

Given fractions are 8506/494,2503/9782

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 8506,2503

Greatest Common Factor of Numerators i.e. GCF of 8506,2503 is 1 .

LCM of Denominators means LCM of 494,9782 as per the given fractions.

LCM of 494,9782 is 2416154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8506,2503

GCF of Fractions 8506/494,2503/9782 is 1/2416154

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

Greatest Common Factor of 8506,2503 By Matching Biggest Common Factor Method

Greatest Common Factor of 8506,2503 By Matching Biggest Common Factor Method

Factors of 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1,2,4253,8506

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1,2503

Greatest Common Factor

We found the factors 8506,2503 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,2503 is 1.

Lets's calculate LCM of 494,9782

2 494, 9782
247, 4891

∴ So the LCM of the given numbers is 2 x 247 x 4891 = 2416154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2416154

Therefore, the GCF of Fractions 8506/494,2503/9782 is 1/2416154

Least Common Multiple of 494,9782 with GCF Formula

Least Common Multiple of 494,9782 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 494,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,9782) = 2

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

GCF(494,9782) x common factors =2 x 1 = 2

LCM(494,9782) = ( 494 × 9782 ) / 2

LCM(494,9782) = 4832308 / 2

LCM(494,9782) = 2416154


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 8506/494, 2503/9782

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 8506/494, 2503/9782?

Answer: GCF of Numerators as per given numbers 8506/494, 2503/9782 is

GCF of Numerators i.e. for 8506,2503 is 1

LCM of denominators i.e. for 494,9782 is 2416154.

Thus, GCF of Fractions is 1/2416154.Finally, GCF of Fractions for 8506/494, 2503/9782 is 1/2416154.