Greatest Common Factor of 173/969, 416/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/969, 416/306

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 173/969,416/306

Given fractions are 173/969,416/306

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 173,416

Greatest Common Factor of Numerators i.e. GCF of 173,416 is 1 .

LCM of Denominators means LCM of 969,306 as per the given fractions.

LCM of 969,306 is 5814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,416

GCF of Fractions 173/969,416/306 is 1/5814

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

Greatest Common Factor of 173,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,416 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

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

Greatest Common Factor

We found the factors 173,416 . The biggest common factor number is the GCF number.
So the greatest common factor 173,416 is 1.

Lets's calculate LCM of 969,306

3 969, 306
17 323, 102
19, 6

∴ So the LCM of the given numbers is 3 x 17 x 19 x 6 = 5814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5814

Therefore, the GCF of Fractions 173/969,416/306 is 1/5814

Least Common Multiple of 969,306 with GCF Formula

Least Common Multiple of 969,306 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 969,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,306) = 51

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

GCF(969,306) x common factors =51 x 1 = 51

LCM(969,306) = ( 969 × 306 ) / 51

LCM(969,306) = 296514 / 51

LCM(969,306) = 5814


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 173/969, 416/306

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 173/969, 416/306?

Answer: GCF of Numerators as per given numbers 173/969, 416/306 is

GCF of Numerators i.e. for 173,416 is 1

LCM of denominators i.e. for 969,306 is 5814.

Thus, GCF of Fractions is 1/5814.Finally, GCF of Fractions for 173/969, 416/306 is 1/5814.