Greatest Common Factor of 161/32, 225/45, 617/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/32, 225/45, 617/586

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 161/32,225/45,617/586

Given fractions are 161/32,225/45,617/586

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 161,225,617

Greatest Common Factor of Numerators i.e. GCF of 161,225,617 is 1 .

LCM of Denominators means LCM of 32,45,586 as per the given fractions.

LCM of 32,45,586 is 421920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,225,617

GCF of Fractions 161/32,225/45,617/586 is 1/421920

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

Greatest Common Factor of 161,225,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,225,617 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 161,225,617 . The biggest common factor number is the GCF number.
So the greatest common factor 161,225,617 is 1.

Lets's calculate LCM of 32,45,586

2 32, 45, 586
16, 45, 293

∴ So the LCM of the given numbers is 2 x 16 x 45 x 293 = 421920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421920

Therefore, the GCF of Fractions 161/32,225/45,617/586 is 1/421920

Least Common Multiple of 32,45,586 with GCF Formula

Least Common Multiple of 32,45,586 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 32,45,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,45,586) = 1

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

GCF(32,45,586) x common factors =1 x 2 = 2

LCM(32,45,586) = ( 32 × 45 × 586 ) / 2

LCM(32,45,586) = 843840 / 2

LCM(32,45,586) = 421920


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 161/32, 225/45, 617/586

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 161/32, 225/45, 617/586?

Answer: GCF of Numerators as per given numbers 161/32, 225/45, 617/586 is

GCF of Numerators i.e. for 161,225,617 is 1

LCM of denominators i.e. for 32,45,586 is 421920.

Thus, GCF of Fractions is 1/421920.Finally, GCF of Fractions for 161/32, 225/45, 617/586 is 1/421920.