Greatest Common Factor of 485/48, 299/30, 421/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 485/48, 299/30, 421/275

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 485/48,299/30,421/275

Given fractions are 485/48,299/30,421/275

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 485,299,421

Greatest Common Factor of Numerators i.e. GCF of 485,299,421 is 1 .

LCM of Denominators means LCM of 48,30,275 as per the given fractions.

LCM of 48,30,275 is 13200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 485,299,421

GCF of Fractions 485/48,299/30,421/275 is 1/13200

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

Greatest Common Factor of 485,299,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,299,421 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 485,299,421 . The biggest common factor number is the GCF number.
So the greatest common factor 485,299,421 is 1.

Lets's calculate LCM of 48,30,275

2 48, 30, 275
3 24, 15, 275
5 8, 5, 275
8, 1, 55

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 1 x 55 = 13200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13200

Therefore, the GCF of Fractions 485/48,299/30,421/275 is 1/13200

Least Common Multiple of 48,30,275 with GCF Formula

Least Common Multiple of 48,30,275 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 48,30,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,30,275) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(48,30,275) x common factors =1 x 30 = 30

LCM(48,30,275) = ( 48 × 30 × 275 ) / 30

LCM(48,30,275) = 396000 / 30

LCM(48,30,275) = 13200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 485/48, 299/30, 421/275

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 485/48, 299/30, 421/275?

Answer: GCF of Numerators as per given numbers 485/48, 299/30, 421/275 is

GCF of Numerators i.e. for 485,299,421 is 1

LCM of denominators i.e. for 48,30,275 is 13200.

Thus, GCF of Fractions is 1/13200.Finally, GCF of Fractions for 485/48, 299/30, 421/275 is 1/13200.