Greatest Common Factor of 7742/782, 8784/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7742/782, 8784/686

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 7742/782,8784/686

Given fractions are 7742/782,8784/686

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 7742,8784

Greatest Common Factor of Numerators i.e. GCF of 7742,8784 is 2 .

LCM of Denominators means LCM of 782,686 as per the given fractions.

LCM of 782,686 is 268226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7742,8784

GCF of Fractions 7742/782,8784/686 is 2/268226

2 7742, 8784
3871, 4392

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

Greatest Common Factor of 7742,8784 By Matching Biggest Common Factor Method

Greatest Common Factor of 7742,8784 By Matching Biggest Common Factor Method

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Greatest Common Factor

We found the factors 7742,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 7742,8784 is 2.

Lets's calculate LCM of 782,686

2 782, 686
391, 343

∴ So the LCM of the given numbers is 2 x 391 x 343 = 268226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/268226

Therefore, the GCF of Fractions 7742/782,8784/686 is 2/268226

Least Common Multiple of 782,686 with GCF Formula

Least Common Multiple of 782,686 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 782,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,686) = 2

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

GCF(782,686) x common factors =2 x 1 = 2

LCM(782,686) = ( 782 × 686 ) / 2

LCM(782,686) = 536452 / 2

LCM(782,686) = 268226


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 7742/782, 8784/686

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 7742/782, 8784/686?

Answer: GCF of Numerators as per given numbers 7742/782, 8784/686 is

GCF of Numerators i.e. for 7742,8784 is 2

LCM of denominators i.e. for 782,686 is 268226.

Thus, GCF of Fractions is 2/268226.Finally, GCF of Fractions for 7742/782, 8784/686 is 2/268226.