Greatest Common Factor of 74/121, 60/903, 727/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/121, 60/903, 727/160

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 74/121,60/903,727/160

Given fractions are 74/121,60/903,727/160

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 74,60,727

Greatest Common Factor of Numerators i.e. GCF of 74,60,727 is 1 .

LCM of Denominators means LCM of 121,903,160 as per the given fractions.

LCM of 121,903,160 is 17482080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,60,727

GCF of Fractions 74/121,60/903,727/160 is 1/17482080

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

Greatest Common Factor of 74,60,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,60,727 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 74,60,727 . The biggest common factor number is the GCF number.
So the greatest common factor 74,60,727 is 1.

Lets's calculate LCM of 121,903,160

Given numbers has no common factors except 1. So, there LCM is their product i.e 17482080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17482080

Therefore, the GCF of Fractions 74/121,60/903,727/160 is 1/17482080

Least Common Multiple of 121,903,160 with GCF Formula

Least Common Multiple of 121,903,160 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 121,903,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,903,160) = 1

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

GCF(121,903,160) x common factors =1 x 1 = 1

LCM(121,903,160) = ( 121 × 903 × 160 ) / 1

LCM(121,903,160) = 17482080 / 1

LCM(121,903,160) = 17482080


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 74/121, 60/903, 727/160

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 74/121, 60/903, 727/160?

Answer: GCF of Numerators as per given numbers 74/121, 60/903, 727/160 is

GCF of Numerators i.e. for 74,60,727 is 1

LCM of denominators i.e. for 121,903,160 is 17482080.

Thus, GCF of Fractions is 1/17482080.Finally, GCF of Fractions for 74/121, 60/903, 727/160 is 1/17482080.