Greatest Common Factor of 488/60, 671/59, 593/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/60, 671/59, 593/114

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 488/60,671/59,593/114

Given fractions are 488/60,671/59,593/114

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 488,671,593

Greatest Common Factor of Numerators i.e. GCF of 488,671,593 is 1 .

LCM of Denominators means LCM of 60,59,114 as per the given fractions.

LCM of 60,59,114 is 67260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,671,593

GCF of Fractions 488/60,671/59,593/114 is 1/67260

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

Greatest Common Factor of 488,671,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,671,593 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 488,671,593 . The biggest common factor number is the GCF number.
So the greatest common factor 488,671,593 is 1.

Lets's calculate LCM of 60,59,114

2 60, 59, 114
3 30, 59, 57
10, 59, 19

∴ So the LCM of the given numbers is 2 x 3 x 10 x 59 x 19 = 67260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67260

Therefore, the GCF of Fractions 488/60,671/59,593/114 is 1/67260

Least Common Multiple of 60,59,114 with GCF Formula

Least Common Multiple of 60,59,114 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 60,59,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,59,114) = 1

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

GCF(60,59,114) x common factors =1 x 6 = 6

LCM(60,59,114) = ( 60 × 59 × 114 ) / 6

LCM(60,59,114) = 403560 / 6

LCM(60,59,114) = 67260


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 488/60, 671/59, 593/114

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 488/60, 671/59, 593/114?

Answer: GCF of Numerators as per given numbers 488/60, 671/59, 593/114 is

GCF of Numerators i.e. for 488,671,593 is 1

LCM of denominators i.e. for 60,59,114 is 67260.

Thus, GCF of Fractions is 1/67260.Finally, GCF of Fractions for 488/60, 671/59, 593/114 is 1/67260.