Greatest Common Factor of 8698/294, 2513/3802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8698/294, 2513/3802

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 8698/294,2513/3802

Given fractions are 8698/294,2513/3802

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 8698,2513

Greatest Common Factor of Numerators i.e. GCF of 8698,2513 is 1 .

LCM of Denominators means LCM of 294,3802 as per the given fractions.

LCM of 294,3802 is 558894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8698,2513

GCF of Fractions 8698/294,2513/3802 is 1/558894

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

Greatest Common Factor of 8698,2513 By Matching Biggest Common Factor Method

Greatest Common Factor of 8698,2513 By Matching Biggest Common Factor Method

Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1,2,4349,8698

Factors of 2513

List of positive integer factors of 2513 that divides 2513 without a remainder.

1,7,359,2513

Greatest Common Factor

We found the factors 8698,2513 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,2513 is 1.

Lets's calculate LCM of 294,3802

2 294, 3802
147, 1901

∴ So the LCM of the given numbers is 2 x 147 x 1901 = 558894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558894

Therefore, the GCF of Fractions 8698/294,2513/3802 is 1/558894

Least Common Multiple of 294,3802 with GCF Formula

Least Common Multiple of 294,3802 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 294,3802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,3802) = 2

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

GCF(294,3802) x common factors =2 x 1 = 2

LCM(294,3802) = ( 294 × 3802 ) / 2

LCM(294,3802) = 1117788 / 2

LCM(294,3802) = 558894


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 8698/294, 2513/3802

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 8698/294, 2513/3802?

Answer: GCF of Numerators as per given numbers 8698/294, 2513/3802 is

GCF of Numerators i.e. for 8698,2513 is 1

LCM of denominators i.e. for 294,3802 is 558894.

Thus, GCF of Fractions is 1/558894.Finally, GCF of Fractions for 8698/294, 2513/3802 is 1/558894.