Greatest Common Factor of 69/66, 31/675, 817/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/66, 31/675, 817/110

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 69/66,31/675,817/110

Given fractions are 69/66,31/675,817/110

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 69,31,817

Greatest Common Factor of Numerators i.e. GCF of 69,31,817 is 1 .

LCM of Denominators means LCM of 66,675,110 as per the given fractions.

LCM of 66,675,110 is 14850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,31,817

GCF of Fractions 69/66,31/675,817/110 is 1/14850

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

Greatest Common Factor of 69,31,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,31,817 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 69,31,817 . The biggest common factor number is the GCF number.
So the greatest common factor 69,31,817 is 1.

Lets's calculate LCM of 66,675,110

2 66, 675, 110
3 33, 675, 55
5 11, 225, 55
11 11, 45, 11
1, 45, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 45 x 1 = 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14850

Therefore, the GCF of Fractions 69/66,31/675,817/110 is 1/14850

Least Common Multiple of 66,675,110 with GCF Formula

Least Common Multiple of 66,675,110 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 66,675,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,675,110) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(66,675,110) x common factors =1 x 330 = 330

LCM(66,675,110) = ( 66 × 675 × 110 ) / 330

LCM(66,675,110) = 4900500 / 330

LCM(66,675,110) = 14850


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 69/66, 31/675, 817/110

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 69/66, 31/675, 817/110?

Answer: GCF of Numerators as per given numbers 69/66, 31/675, 817/110 is

GCF of Numerators i.e. for 69,31,817 is 1

LCM of denominators i.e. for 66,675,110 is 14850.

Thus, GCF of Fractions is 1/14850.Finally, GCF of Fractions for 69/66, 31/675, 817/110 is 1/14850.