Greatest Common Factor of 806/11, 308/76, 700/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/11, 308/76, 700/542

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 806/11,308/76,700/542

Given fractions are 806/11,308/76,700/542

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 806,308,700

Greatest Common Factor of Numerators i.e. GCF of 806,308,700 is 2 .

LCM of Denominators means LCM of 11,76,542 as per the given fractions.

LCM of 11,76,542 is 226556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,308,700

GCF of Fractions 806/11,308/76,700/542 is 2/226556

2 806, 308, 700
403, 154, 350

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

Greatest Common Factor of 806,308,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,308,700 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 806,308,700 . The biggest common factor number is the GCF number.
So the greatest common factor 806,308,700 is 2.

Lets's calculate LCM of 11,76,542

2 11, 76, 542
11, 38, 271

∴ So the LCM of the given numbers is 2 x 11 x 38 x 271 = 226556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226556

Therefore, the GCF of Fractions 806/11,308/76,700/542 is 2/226556

Least Common Multiple of 11,76,542 with GCF Formula

Least Common Multiple of 11,76,542 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 11,76,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,76,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,76,542) x common factors =1 x 2 = 2

LCM(11,76,542) = ( 11 × 76 × 542 ) / 2

LCM(11,76,542) = 453112 / 2

LCM(11,76,542) = 226556


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 806/11, 308/76, 700/542

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 806/11, 308/76, 700/542?

Answer: GCF of Numerators as per given numbers 806/11, 308/76, 700/542 is

GCF of Numerators i.e. for 806,308,700 is 2

LCM of denominators i.e. for 11,76,542 is 226556.

Thus, GCF of Fractions is 2/226556.Finally, GCF of Fractions for 806/11, 308/76, 700/542 is 2/226556.