Greatest Common Factor of 470/96, 319/61, 257/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/96, 319/61, 257/150

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 470/96,319/61,257/150

Given fractions are 470/96,319/61,257/150

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 470,319,257

Greatest Common Factor of Numerators i.e. GCF of 470,319,257 is 1 .

LCM of Denominators means LCM of 96,61,150 as per the given fractions.

LCM of 96,61,150 is 146400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,319,257

GCF of Fractions 470/96,319/61,257/150 is 1/146400

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

Greatest Common Factor of 470,319,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,319,257 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 470,319,257 . The biggest common factor number is the GCF number.
So the greatest common factor 470,319,257 is 1.

Lets's calculate LCM of 96,61,150

2 96, 61, 150
3 48, 61, 75
16, 61, 25

∴ So the LCM of the given numbers is 2 x 3 x 16 x 61 x 25 = 146400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146400

Therefore, the GCF of Fractions 470/96,319/61,257/150 is 1/146400

Least Common Multiple of 96,61,150 with GCF Formula

Least Common Multiple of 96,61,150 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 96,61,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,61,150) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,61,150) x common factors =1 x 6 = 6

LCM(96,61,150) = ( 96 × 61 × 150 ) / 6

LCM(96,61,150) = 878400 / 6

LCM(96,61,150) = 146400


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 470/96, 319/61, 257/150

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 470/96, 319/61, 257/150?

Answer: GCF of Numerators as per given numbers 470/96, 319/61, 257/150 is

GCF of Numerators i.e. for 470,319,257 is 1

LCM of denominators i.e. for 96,61,150 is 146400.

Thus, GCF of Fractions is 1/146400.Finally, GCF of Fractions for 470/96, 319/61, 257/150 is 1/146400.