Greatest Common Factor of 5818/784, 1766/6914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5818/784, 1766/6914

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 5818/784,1766/6914

Given fractions are 5818/784,1766/6914

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 5818,1766

Greatest Common Factor of Numerators i.e. GCF of 5818,1766 is 2 .

LCM of Denominators means LCM of 784,6914 as per the given fractions.

LCM of 784,6914 is 2710288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5818,1766

GCF of Fractions 5818/784,1766/6914 is 2/2710288

2 5818, 1766
2909, 883

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

Greatest Common Factor of 5818,1766 By Matching Biggest Common Factor Method

Greatest Common Factor of 5818,1766 By Matching Biggest Common Factor Method

Factors of 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1,2,2909,5818

Factors of 1766

List of positive integer factors of 1766 that divides 1766 without a remainder.

1,2,883,1766

Greatest Common Factor

We found the factors 5818,1766 . The biggest common factor number is the GCF number.
So the greatest common factor 5818,1766 is 2.

Lets's calculate LCM of 784,6914

2 784, 6914
392, 3457

∴ So the LCM of the given numbers is 2 x 392 x 3457 = 2710288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2710288

Therefore, the GCF of Fractions 5818/784,1766/6914 is 2/2710288

Least Common Multiple of 784,6914 with GCF Formula

Least Common Multiple of 784,6914 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 784,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,6914) = 2

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

GCF(784,6914) x common factors =2 x 1 = 2

LCM(784,6914) = ( 784 × 6914 ) / 2

LCM(784,6914) = 5420576 / 2

LCM(784,6914) = 2710288


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 5818/784, 1766/6914

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 5818/784, 1766/6914?

Answer: GCF of Numerators as per given numbers 5818/784, 1766/6914 is

GCF of Numerators i.e. for 5818,1766 is 2

LCM of denominators i.e. for 784,6914 is 2710288.

Thus, GCF of Fractions is 2/2710288.Finally, GCF of Fractions for 5818/784, 1766/6914 is 2/2710288.