Greatest Common Factor of 27/757, 83/149, 808/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/757, 83/149, 808/756

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 27/757,83/149,808/756

Given fractions are 27/757,83/149,808/756

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 27,83,808

Greatest Common Factor of Numerators i.e. GCF of 27,83,808 is 1 .

LCM of Denominators means LCM of 757,149,756 as per the given fractions.

LCM of 757,149,756 is 85271508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,83,808

GCF of Fractions 27/757,83/149,808/756 is 1/85271508

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

Greatest Common Factor of 27,83,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,83,808 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 27,83,808 . The biggest common factor number is the GCF number.
So the greatest common factor 27,83,808 is 1.

Lets's calculate LCM of 757,149,756

Given numbers has no common factors except 1. So, there LCM is their product i.e 85271508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85271508

Therefore, the GCF of Fractions 27/757,83/149,808/756 is 1/85271508

Least Common Multiple of 757,149,756 with GCF Formula

Least Common Multiple of 757,149,756 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 757,149,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,149,756) = 1

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

GCF(757,149,756) x common factors =1 x 1 = 1

LCM(757,149,756) = ( 757 × 149 × 756 ) / 1

LCM(757,149,756) = 85271508 / 1

LCM(757,149,756) = 85271508


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 27/757, 83/149, 808/756

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 27/757, 83/149, 808/756?

Answer: GCF of Numerators as per given numbers 27/757, 83/149, 808/756 is

GCF of Numerators i.e. for 27,83,808 is 1

LCM of denominators i.e. for 757,149,756 is 85271508.

Thus, GCF of Fractions is 1/85271508.Finally, GCF of Fractions for 27/757, 83/149, 808/756 is 1/85271508.