How to Find GCF of 8708/778, 3343/686?

GCF of 8708/778, 3343/686

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8708/778, 3343/686 i.e 1/266854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8708/778, 3343/686.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8708/778,3343/686?

Given fractions are 8708/778,3343/686

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8708/778,3343/686, numerators are 8708,3343

Denominators are 778,686

The GCF of 8708,3343 is 1 .

LCM of 778,686 is 266854.

The greatest common factor of 8708/778,3343/686 = [GCF of 8708,3343]/[LCM of 778,686]= 1/266854

Therefore, the GCF of 8708/778,3343/686 is 1/266854.

Greatest Common Factor of 8708,3343

To find the highest common factor of 8708,3343, we have to find the factors of both numbers and list the highest common factor.

The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

The factors of 3343 are 1, 3343

The HCF of 8708,3343 is 1.

Lets's calculate GCF of 8708,3343

Greatest Common Factor (GCF) of 8708,3343 By Common Division

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

Greatest Common Factor of 8708,3343 By Matching Biggest Common Factor Method

Now, list down the factors of 8708

1,2,4,7,14,28,311,622,1244,2177,4354,8708

Now, list down the factors of 3343

1,3343

Greatest Common Factor

We found the factors 8708,3343 . The biggest common factor number is the GCF number.
So the greatest common factor 8708,3343 is 1.

Lets's calculate LCM of 778,686

Lowest Common Multiple of 778,686 using Common Division

2	778, 686
	389, 343

∴ So the LCM of the given numbers is 2 x 389 x 343 = 266854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266854

Therefore, the GCF of Fractions 8708/778,3343/686 is 1/266854

Least Common Multiple of 778,686 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 778,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,686) = 2

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

GCF(778,686) x common factors =2 x 1 = 2

LCM(778,686) = ( 778 × 686 ) / 2

LCM(778,686) = 533708 / 2

LCM(778,686) = 266854

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8708/778, 3343/686

1. What is the HCF of 8708,3343?

The HCF of 8708,3343 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8708/778, 3343/686?

Answer: GCF of Numerators as per given numbers 8708/778, 3343/686 is

GCF of Numerators i.e. for 8708,3343 is 1

LCM of denominators i.e. for 778,686 is 266854.

Thus, GCF of Fractions is 1/266854.Finally, GCF of Fractions for 8708/778, 3343/686 is 1/266854.