Greatest Common Factor of 32/85, 614/32, 221/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/85, 614/32, 221/160

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 32/85,614/32,221/160

Given fractions are 32/85,614/32,221/160

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 32,614,221

Greatest Common Factor of Numerators i.e. GCF of 32,614,221 is 1 .

LCM of Denominators means LCM of 85,32,160 as per the given fractions.

LCM of 85,32,160 is 2720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,614,221

GCF of Fractions 32/85,614/32,221/160 is 1/2720

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

Greatest Common Factor of 32,614,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,614,221 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 32,614,221 . The biggest common factor number is the GCF number.
So the greatest common factor 32,614,221 is 1.

Lets's calculate LCM of 85,32,160

2 85, 32, 160
2 85, 16, 80
2 85, 8, 40
2 85, 4, 20
2 85, 2, 10
5 85, 1, 5
17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 17 x 1 x 1 = 2720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720

Therefore, the GCF of Fractions 32/85,614/32,221/160 is 1/2720

Least Common Multiple of 85,32,160 with GCF Formula

Least Common Multiple of 85,32,160 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 85,32,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,32,160) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(85,32,160) x common factors =1 x 160 = 160

LCM(85,32,160) = ( 85 × 32 × 160 ) / 160

LCM(85,32,160) = 435200 / 160

LCM(85,32,160) = 2720


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 32/85, 614/32, 221/160

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 32/85, 614/32, 221/160?

Answer: GCF of Numerators as per given numbers 32/85, 614/32, 221/160 is

GCF of Numerators i.e. for 32,614,221 is 1

LCM of denominators i.e. for 85,32,160 is 2720.

Thus, GCF of Fractions is 1/2720.Finally, GCF of Fractions for 32/85, 614/32, 221/160 is 1/2720.