Greatest Common Factor of 9/33, 81/83, 67/515, 866/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/33, 81/83, 67/515, 866/350

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 9/33,81/83,67/515,866/350

Given fractions are 9/33,81/83,67/515,866/350

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 9,81,67,866

Greatest Common Factor of Numerators i.e. GCF of 9,81,67,866 is 1 .

LCM of Denominators means LCM of 33,83,515,350 as per the given fractions.

LCM of 33,83,515,350 is 98740950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,81,67,866

GCF of Fractions 9/33,81/83,67/515,866/350 is 1/98740950

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

Greatest Common Factor of 9,81,67,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,81,67,866 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 9,81,67,866 . The biggest common factor number is the GCF number.
So the greatest common factor 9,81,67,866 is 1.

Lets's calculate LCM of 33,83,515,350

5 33, 83, 515, 350
33, 83, 103, 70

∴ So the LCM of the given numbers is 5 x 33 x 83 x 103 x 70 = 98740950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98740950

Therefore, the GCF of Fractions 9/33,81/83,67/515,866/350 is 1/98740950

Least Common Multiple of 33,83,515,350 with GCF Formula

Least Common Multiple of 33,83,515,350 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 33,83,515,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,83,515,350) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(33,83,515,350) x common factors =1 x 5 = 5

LCM(33,83,515,350) = ( 33 × 83 × 515 × 350 ) / 5

LCM(33,83,515,350) = 493704750 / 5

LCM(33,83,515,350) = 98740950


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 9/33, 81/83, 67/515, 866/350

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 9/33, 81/83, 67/515, 866/350?

Answer: GCF of Numerators as per given numbers 9/33, 81/83, 67/515, 866/350 is

GCF of Numerators i.e. for 9,81,67,866 is 1

LCM of denominators i.e. for 33,83,515,350 is 98740950.

Thus, GCF of Fractions is 1/98740950.Finally, GCF of Fractions for 9/33, 81/83, 67/515, 866/350 is 1/98740950.