Greatest Common Factor of 730/17, 832/10, 666/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/17, 832/10, 666/421

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 730/17,832/10,666/421

Given fractions are 730/17,832/10,666/421

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 730,832,666

Greatest Common Factor of Numerators i.e. GCF of 730,832,666 is 2 .

LCM of Denominators means LCM of 17,10,421 as per the given fractions.

LCM of 17,10,421 is 71570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,832,666

GCF of Fractions 730/17,832/10,666/421 is 2/71570

2 730, 832, 666
365, 416, 333

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 730,832,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,832,666 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 730,832,666 . The biggest common factor number is the GCF number.
So the greatest common factor 730,832,666 is 2.

Lets's calculate LCM of 17,10,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 71570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71570

Therefore, the GCF of Fractions 730/17,832/10,666/421 is 2/71570

Least Common Multiple of 17,10,421 with GCF Formula

Least Common Multiple of 17,10,421 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 17,10,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,10,421) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,10,421) x common factors =1 x 1 = 1

LCM(17,10,421) = ( 17 × 10 × 421 ) / 1

LCM(17,10,421) = 71570 / 1

LCM(17,10,421) = 71570


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 730/17, 832/10, 666/421

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 730/17, 832/10, 666/421?

Answer: GCF of Numerators as per given numbers 730/17, 832/10, 666/421 is

GCF of Numerators i.e. for 730,832,666 is 2

LCM of denominators i.e. for 17,10,421 is 71570.

Thus, GCF of Fractions is 2/71570.Finally, GCF of Fractions for 730/17, 832/10, 666/421 is 2/71570.