Greatest Common Factor of 109/33, 352/40, 584/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/33, 352/40, 584/951

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 109/33,352/40,584/951

Given fractions are 109/33,352/40,584/951

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 109,352,584

Greatest Common Factor of Numerators i.e. GCF of 109,352,584 is 1 .

LCM of Denominators means LCM of 33,40,951 as per the given fractions.

LCM of 33,40,951 is 418440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,352,584

GCF of Fractions 109/33,352/40,584/951 is 1/418440

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

Greatest Common Factor of 109,352,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,352,584 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 109,352,584 . The biggest common factor number is the GCF number.
So the greatest common factor 109,352,584 is 1.

Lets's calculate LCM of 33,40,951

3 33, 40, 951
11, 40, 317

∴ So the LCM of the given numbers is 3 x 11 x 40 x 317 = 418440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418440

Therefore, the GCF of Fractions 109/33,352/40,584/951 is 1/418440

Least Common Multiple of 33,40,951 with GCF Formula

Least Common Multiple of 33,40,951 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 33,40,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,40,951) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,40,951) x common factors =1 x 3 = 3

LCM(33,40,951) = ( 33 × 40 × 951 ) / 3

LCM(33,40,951) = 1255320 / 3

LCM(33,40,951) = 418440


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 109/33, 352/40, 584/951

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 109/33, 352/40, 584/951?

Answer: GCF of Numerators as per given numbers 109/33, 352/40, 584/951 is

GCF of Numerators i.e. for 109,352,584 is 1

LCM of denominators i.e. for 33,40,951 is 418440.

Thus, GCF of Fractions is 1/418440.Finally, GCF of Fractions for 109/33, 352/40, 584/951 is 1/418440.