Greatest Common Factor of 7808/791, 8264/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7808/791, 8264/697

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 7808/791,8264/697

Given fractions are 7808/791,8264/697

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 7808,8264

Greatest Common Factor of Numerators i.e. GCF of 7808,8264 is 8 .

LCM of Denominators means LCM of 791,697 as per the given fractions.

LCM of 791,697 is 551327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7808,8264

GCF of Fractions 7808/791,8264/697 is 8/551327

2 7808, 8264
2 3904, 4132
2 1952, 2066
976, 1033

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7808,8264 By Matching Biggest Common Factor Method

Greatest Common Factor of 7808,8264 By Matching Biggest Common Factor Method

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1,2,4,8,1033,2066,4132,8264

Greatest Common Factor

We found the factors 7808,8264 . The biggest common factor number is the GCF number.
So the greatest common factor 7808,8264 is 8.

Lets's calculate LCM of 791,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 551327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/551327

Therefore, the GCF of Fractions 7808/791,8264/697 is 8/551327

Least Common Multiple of 791,697 with GCF Formula

Least Common Multiple of 791,697 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 791,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,697) = 1

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

GCF(791,697) x common factors =1 x 1 = 1

LCM(791,697) = ( 791 × 697 ) / 1

LCM(791,697) = 551327 / 1

LCM(791,697) = 551327


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 7808/791, 8264/697

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 7808/791, 8264/697?

Answer: GCF of Numerators as per given numbers 7808/791, 8264/697 is

GCF of Numerators i.e. for 7808,8264 is 8

LCM of denominators i.e. for 791,697 is 551327.

Thus, GCF of Fractions is 8/551327.Finally, GCF of Fractions for 7808/791, 8264/697 is 8/551327.