Greatest Common Factor of 17/925, 617/770, 727/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/925, 617/770, 727/333

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 17/925,617/770,727/333

Given fractions are 17/925,617/770,727/333

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 17,617,727

Greatest Common Factor of Numerators i.e. GCF of 17,617,727 is 1 .

LCM of Denominators means LCM of 925,770,333 as per the given fractions.

LCM of 925,770,333 is 1282050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,617,727

GCF of Fractions 17/925,617/770,727/333 is 1/1282050

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

Greatest Common Factor of 17,617,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,617,727 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 17,617,727 . The biggest common factor number is the GCF number.
So the greatest common factor 17,617,727 is 1.

Lets's calculate LCM of 925,770,333

5 925, 770, 333
37 185, 154, 333
5, 154, 9

∴ So the LCM of the given numbers is 5 x 37 x 5 x 154 x 9 = 1282050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1282050

Therefore, the GCF of Fractions 17/925,617/770,727/333 is 1/1282050

Least Common Multiple of 925,770,333 with GCF Formula

Least Common Multiple of 925,770,333 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 925,770,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,770,333) = 1

common factors(in case of two or more numbers have common factors) = 185

GCF(925,770,333) x common factors =1 x 185 = 185

LCM(925,770,333) = ( 925 × 770 × 333 ) / 185

LCM(925,770,333) = 237179250 / 185

LCM(925,770,333) = 1282050


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 17/925, 617/770, 727/333

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 17/925, 617/770, 727/333?

Answer: GCF of Numerators as per given numbers 17/925, 617/770, 727/333 is

GCF of Numerators i.e. for 17,617,727 is 1

LCM of denominators i.e. for 925,770,333 is 1282050.

Thus, GCF of Fractions is 1/1282050.Finally, GCF of Fractions for 17/925, 617/770, 727/333 is 1/1282050.