Greatest Common Factor of 966/776, 311/674, 176/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/776, 311/674, 176/606

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 966/776,311/674,176/606

Given fractions are 966/776,311/674,176/606

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 966,311,176

Greatest Common Factor of Numerators i.e. GCF of 966,311,176 is 1 .

LCM of Denominators means LCM of 776,674,606 as per the given fractions.

LCM of 776,674,606 is 79238136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,311,176

GCF of Fractions 966/776,311/674,176/606 is 1/79238136

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

Greatest Common Factor of 966,311,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,311,176 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 966,311,176 . The biggest common factor number is the GCF number.
So the greatest common factor 966,311,176 is 1.

Lets's calculate LCM of 776,674,606

2 776, 674, 606
388, 337, 303

∴ So the LCM of the given numbers is 2 x 388 x 337 x 303 = 79238136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79238136

Therefore, the GCF of Fractions 966/776,311/674,176/606 is 1/79238136

Least Common Multiple of 776,674,606 with GCF Formula

Least Common Multiple of 776,674,606 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 776,674,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,674,606) = 2

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

GCF(776,674,606) x common factors =2 x 2 = 4

LCM(776,674,606) = ( 776 × 674 × 606 ) / 4

LCM(776,674,606) = 316952544 / 4

LCM(776,674,606) = 79238136


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 966/776, 311/674, 176/606

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 966/776, 311/674, 176/606?

Answer: GCF of Numerators as per given numbers 966/776, 311/674, 176/606 is

GCF of Numerators i.e. for 966,311,176 is 1

LCM of denominators i.e. for 776,674,606 is 79238136.

Thus, GCF of Fractions is 1/79238136.Finally, GCF of Fractions for 966/776, 311/674, 176/606 is 1/79238136.