Greatest Common Factor of 668/42, 392/32, 758/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 668/42, 392/32, 758/17

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 668/42,392/32,758/17

Given fractions are 668/42,392/32,758/17

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 668,392,758

Greatest Common Factor of Numerators i.e. GCF of 668,392,758 is 2 .

LCM of Denominators means LCM of 42,32,17 as per the given fractions.

LCM of 42,32,17 is 11424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 668,392,758

GCF of Fractions 668/42,392/32,758/17 is 2/11424

2 668, 392, 758
334, 196, 379

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

Greatest Common Factor of 668,392,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,392,758 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 668,392,758 . The biggest common factor number is the GCF number.
So the greatest common factor 668,392,758 is 2.

Lets's calculate LCM of 42,32,17

2 42, 32, 17
21, 16, 17

∴ So the LCM of the given numbers is 2 x 21 x 16 x 17 = 11424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11424

Therefore, the GCF of Fractions 668/42,392/32,758/17 is 2/11424

Least Common Multiple of 42,32,17 with GCF Formula

Least Common Multiple of 42,32,17 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 42,32,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,32,17) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,32,17) x common factors =1 x 2 = 2

LCM(42,32,17) = ( 42 × 32 × 17 ) / 2

LCM(42,32,17) = 22848 / 2

LCM(42,32,17) = 11424


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 668/42, 392/32, 758/17

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 668/42, 392/32, 758/17?

Answer: GCF of Numerators as per given numbers 668/42, 392/32, 758/17 is

GCF of Numerators i.e. for 668,392,758 is 2

LCM of denominators i.e. for 42,32,17 is 11424.

Thus, GCF of Fractions is 2/11424.Finally, GCF of Fractions for 668/42, 392/32, 758/17 is 2/11424.