How to Find GCF of 27/224, 5570/4199?

GCF of 27/224, 5570/4199

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 27/224, 5570/4199 i.e 1/940576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/224, 5570/4199.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 27/224,5570/4199?

Given fractions are 27/224,5570/4199

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 27/224,5570/4199, numerators are 27,5570

Denominators are 224,4199

The GCF of 27,5570 is 1 .

LCM of 224,4199 is 940576.

The greatest common factor of 27/224,5570/4199 = [GCF of 27,5570]/[LCM of 224,4199]= 1/940576

Therefore, the GCF of 27/224,5570/4199 is 1/940576.

Greatest Common Factor of 27,5570

To find the highest common factor of 27,5570, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570

The HCF of 27,5570 is 1.

Lets's calculate GCF of 27,5570

Greatest Common Factor (GCF) of 27,5570 By Common Division

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

Greatest Common Factor of 27,5570 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 5570

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 27,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5570 is 1.

Lets's calculate LCM of 224,4199

Lowest Common Multiple of 224,4199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 940576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/940576

Therefore, the GCF of Fractions 27/224,5570/4199 is 1/940576

Least Common Multiple of 224,4199 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 224,4199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,4199) = 1

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

GCF(224,4199) x common factors =1 x 1 = 1

LCM(224,4199) = ( 224 × 4199 ) / 1

LCM(224,4199) = 940576 / 1

LCM(224,4199) = 940576

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FAQs on GCF of Fractions of 27/224, 5570/4199

1. What is the HCF of 27,5570?

The HCF of 27,5570 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 27/224, 5570/4199?

Answer: GCF of Numerators as per given numbers 27/224, 5570/4199 is

GCF of Numerators i.e. for 27,5570 is 1

LCM of denominators i.e. for 224,4199 is 940576.

Thus, GCF of Fractions is 1/940576.Finally, GCF of Fractions for 27/224, 5570/4199 is 1/940576.