Greatest Common Factor of 6/33, 26/88, 32/952, 647/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/33, 26/88, 32/952, 647/554

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 6/33,26/88,32/952,647/554

Given fractions are 6/33,26/88,32/952,647/554

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 6,26,32,647

Greatest Common Factor of Numerators i.e. GCF of 6,26,32,647 is 1 .

LCM of Denominators means LCM of 33,88,952,554 as per the given fractions.

LCM of 33,88,952,554 is 8702232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,26,32,647

GCF of Fractions 6/33,26/88,32/952,647/554 is 1/8702232

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

Greatest Common Factor of 6,26,32,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,26,32,647 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 6,26,32,647 . The biggest common factor number is the GCF number.
So the greatest common factor 6,26,32,647 is 1.

Lets's calculate LCM of 33,88,952,554

2 33, 88, 952, 554
2 33, 44, 476, 277
2 33, 22, 238, 277
11 33, 11, 119, 277
3, 1, 119, 277

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 3 x 1 x 119 x 277 = 8702232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8702232

Therefore, the GCF of Fractions 6/33,26/88,32/952,647/554 is 1/8702232

Least Common Multiple of 33,88,952,554 with GCF Formula

Least Common Multiple of 33,88,952,554 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 33,88,952,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,88,952,554) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(33,88,952,554) x common factors =1 x 176 = 176

LCM(33,88,952,554) = ( 33 × 88 × 952 × 554 ) / 176

LCM(33,88,952,554) = 1531592832 / 176

LCM(33,88,952,554) = 8702232


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 6/33, 26/88, 32/952, 647/554

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 6/33, 26/88, 32/952, 647/554?

Answer: GCF of Numerators as per given numbers 6/33, 26/88, 32/952, 647/554 is

GCF of Numerators i.e. for 6,26,32,647 is 1

LCM of denominators i.e. for 33,88,952,554 is 8702232.

Thus, GCF of Fractions is 1/8702232.Finally, GCF of Fractions for 6/33, 26/88, 32/952, 647/554 is 1/8702232.