Greatest Common Factor of 8/11, 77/40, 17/824, 805/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/11, 77/40, 17/824, 805/827

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 8/11,77/40,17/824,805/827

Given fractions are 8/11,77/40,17/824,805/827

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 8,77,17,805

Greatest Common Factor of Numerators i.e. GCF of 8,77,17,805 is 1 .

LCM of Denominators means LCM of 11,40,824,827 as per the given fractions.

LCM of 11,40,824,827 is 37479640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,77,17,805

GCF of Fractions 8/11,77/40,17/824,805/827 is 1/37479640

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

Greatest Common Factor of 8,77,17,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,77,17,805 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 8,77,17,805 . The biggest common factor number is the GCF number.
So the greatest common factor 8,77,17,805 is 1.

Lets's calculate LCM of 11,40,824,827

2 11, 40, 824, 827
2 11, 20, 412, 827
2 11, 10, 206, 827
11, 5, 103, 827

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 103 x 827 = 37479640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37479640

Therefore, the GCF of Fractions 8/11,77/40,17/824,805/827 is 1/37479640

Least Common Multiple of 11,40,824,827 with GCF Formula

Least Common Multiple of 11,40,824,827 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 11,40,824,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,40,824,827) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(11,40,824,827) x common factors =1 x 8 = 8

LCM(11,40,824,827) = ( 11 × 40 × 824 × 827 ) / 8

LCM(11,40,824,827) = 299837120 / 8

LCM(11,40,824,827) = 37479640


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 8/11, 77/40, 17/824, 805/827

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 8/11, 77/40, 17/824, 805/827?

Answer: GCF of Numerators as per given numbers 8/11, 77/40, 17/824, 805/827 is

GCF of Numerators i.e. for 8,77,17,805 is 1

LCM of denominators i.e. for 11,40,824,827 is 37479640.

Thus, GCF of Fractions is 1/37479640.Finally, GCF of Fractions for 8/11, 77/40, 17/824, 805/827 is 1/37479640.