Greatest Common Factor of 170/15, 472/16, 266/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/15, 472/16, 266/154

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 170/15,472/16,266/154

Given fractions are 170/15,472/16,266/154

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 170,472,266

Greatest Common Factor of Numerators i.e. GCF of 170,472,266 is 2 .

LCM of Denominators means LCM of 15,16,154 as per the given fractions.

LCM of 15,16,154 is 18480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,472,266

GCF of Fractions 170/15,472/16,266/154 is 2/18480

2 170, 472, 266
85, 236, 133

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

Greatest Common Factor of 170,472,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,472,266 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 170,472,266 . The biggest common factor number is the GCF number.
So the greatest common factor 170,472,266 is 2.

Lets's calculate LCM of 15,16,154

2 15, 16, 154
15, 8, 77

∴ So the LCM of the given numbers is 2 x 15 x 8 x 77 = 18480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18480

Therefore, the GCF of Fractions 170/15,472/16,266/154 is 2/18480

Least Common Multiple of 15,16,154 with GCF Formula

Least Common Multiple of 15,16,154 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 15,16,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,16,154) = 1

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

GCF(15,16,154) x common factors =1 x 2 = 2

LCM(15,16,154) = ( 15 × 16 × 154 ) / 2

LCM(15,16,154) = 36960 / 2

LCM(15,16,154) = 18480


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 170/15, 472/16, 266/154

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 170/15, 472/16, 266/154?

Answer: GCF of Numerators as per given numbers 170/15, 472/16, 266/154 is

GCF of Numerators i.e. for 170,472,266 is 2

LCM of denominators i.e. for 15,16,154 is 18480.

Thus, GCF of Fractions is 2/18480.Finally, GCF of Fractions for 170/15, 472/16, 266/154 is 2/18480.