Greatest Common Factor of 549/24, 858/25, 227/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/24, 858/25, 227/421

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 549/24,858/25,227/421

Given fractions are 549/24,858/25,227/421

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 549,858,227

Greatest Common Factor of Numerators i.e. GCF of 549,858,227 is 1 .

LCM of Denominators means LCM of 24,25,421 as per the given fractions.

LCM of 24,25,421 is 252600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,858,227

GCF of Fractions 549/24,858/25,227/421 is 1/252600

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

Greatest Common Factor of 549,858,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,858,227 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 549,858,227 . The biggest common factor number is the GCF number.
So the greatest common factor 549,858,227 is 1.

Lets's calculate LCM of 24,25,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 252600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252600

Therefore, the GCF of Fractions 549/24,858/25,227/421 is 1/252600

Least Common Multiple of 24,25,421 with GCF Formula

Least Common Multiple of 24,25,421 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 24,25,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,25,421) = 1

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

GCF(24,25,421) x common factors =1 x 1 = 1

LCM(24,25,421) = ( 24 × 25 × 421 ) / 1

LCM(24,25,421) = 252600 / 1

LCM(24,25,421) = 252600


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 549/24, 858/25, 227/421

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 549/24, 858/25, 227/421?

Answer: GCF of Numerators as per given numbers 549/24, 858/25, 227/421 is

GCF of Numerators i.e. for 549,858,227 is 1

LCM of denominators i.e. for 24,25,421 is 252600.

Thus, GCF of Fractions is 1/252600.Finally, GCF of Fractions for 549/24, 858/25, 227/421 is 1/252600.