Greatest Common Factor of 44/75, 205/45, 649/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/75, 205/45, 649/670

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 44/75,205/45,649/670

Given fractions are 44/75,205/45,649/670

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 44,205,649

Greatest Common Factor of Numerators i.e. GCF of 44,205,649 is 1 .

LCM of Denominators means LCM of 75,45,670 as per the given fractions.

LCM of 75,45,670 is 30150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,205,649

GCF of Fractions 44/75,205/45,649/670 is 1/30150

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

Greatest Common Factor of 44,205,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,205,649 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 44,205,649 . The biggest common factor number is the GCF number.
So the greatest common factor 44,205,649 is 1.

Lets's calculate LCM of 75,45,670

3 75, 45, 670
5 25, 15, 670
5, 3, 134

∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 134 = 30150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30150

Therefore, the GCF of Fractions 44/75,205/45,649/670 is 1/30150

Least Common Multiple of 75,45,670 with GCF Formula

Least Common Multiple of 75,45,670 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 75,45,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,45,670) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(75,45,670) x common factors =5 x 15 = 75

LCM(75,45,670) = ( 75 × 45 × 670 ) / 75

LCM(75,45,670) = 2261250 / 75

LCM(75,45,670) = 30150


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 44/75, 205/45, 649/670

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 44/75, 205/45, 649/670?

Answer: GCF of Numerators as per given numbers 44/75, 205/45, 649/670 is

GCF of Numerators i.e. for 44,205,649 is 1

LCM of denominators i.e. for 75,45,670 is 30150.

Thus, GCF of Fractions is 1/30150.Finally, GCF of Fractions for 44/75, 205/45, 649/670 is 1/30150.