Greatest Common Factor of 816/11, 988/87, 739/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/11, 988/87, 739/618

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 816/11,988/87,739/618

Given fractions are 816/11,988/87,739/618

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 816,988,739

Greatest Common Factor of Numerators i.e. GCF of 816,988,739 is 1 .

LCM of Denominators means LCM of 11,87,618 as per the given fractions.

LCM of 11,87,618 is 197142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,988,739

GCF of Fractions 816/11,988/87,739/618 is 1/197142

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

Greatest Common Factor of 816,988,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,988,739 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 816,988,739 . The biggest common factor number is the GCF number.
So the greatest common factor 816,988,739 is 1.

Lets's calculate LCM of 11,87,618

3 11, 87, 618
11, 29, 206

∴ So the LCM of the given numbers is 3 x 11 x 29 x 206 = 197142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197142

Therefore, the GCF of Fractions 816/11,988/87,739/618 is 1/197142

Least Common Multiple of 11,87,618 with GCF Formula

Least Common Multiple of 11,87,618 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 11,87,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,87,618) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(11,87,618) x common factors =1 x 3 = 3

LCM(11,87,618) = ( 11 × 87 × 618 ) / 3

LCM(11,87,618) = 591426 / 3

LCM(11,87,618) = 197142


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 816/11, 988/87, 739/618

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 816/11, 988/87, 739/618?

Answer: GCF of Numerators as per given numbers 816/11, 988/87, 739/618 is

GCF of Numerators i.e. for 816,988,739 is 1

LCM of denominators i.e. for 11,87,618 is 197142.

Thus, GCF of Fractions is 1/197142.Finally, GCF of Fractions for 816/11, 988/87, 739/618 is 1/197142.