Greatest Common Factor of 352/789, 533/705, 647/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 352/789, 533/705, 647/342

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 352/789,533/705,647/342

Given fractions are 352/789,533/705,647/342

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 352,533,647

Greatest Common Factor of Numerators i.e. GCF of 352,533,647 is 1 .

LCM of Denominators means LCM of 789,705,342 as per the given fractions.

LCM of 789,705,342 is 21137310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 352,533,647

GCF of Fractions 352/789,533/705,647/342 is 1/21137310

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

Greatest Common Factor of 352,533,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,533,647 By Matching Biggest Common Factor Method

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 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

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 352,533,647 . The biggest common factor number is the GCF number.
So the greatest common factor 352,533,647 is 1.

Lets's calculate LCM of 789,705,342

3 789, 705, 342
263, 235, 114

∴ So the LCM of the given numbers is 3 x 263 x 235 x 114 = 21137310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21137310

Therefore, the GCF of Fractions 352/789,533/705,647/342 is 1/21137310

Least Common Multiple of 789,705,342 with GCF Formula

Least Common Multiple of 789,705,342 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 789,705,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,705,342) = 3

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

GCF(789,705,342) x common factors =3 x 3 = 9

LCM(789,705,342) = ( 789 × 705 × 342 ) / 9

LCM(789,705,342) = 190235790 / 9

LCM(789,705,342) = 21137310


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 352/789, 533/705, 647/342

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 352/789, 533/705, 647/342?

Answer: GCF of Numerators as per given numbers 352/789, 533/705, 647/342 is

GCF of Numerators i.e. for 352,533,647 is 1

LCM of denominators i.e. for 789,705,342 is 21137310.

Thus, GCF of Fractions is 1/21137310.Finally, GCF of Fractions for 352/789, 533/705, 647/342 is 1/21137310.