How to Find GCF of 4451/559, 5044/3367?

GCF of 4451/559, 5044/3367

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 4451/559, 5044/3367 i.e 1/144781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4451/559, 5044/3367.

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 4451/559,5044/3367?

Given fractions are 4451/559,5044/3367

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 4451/559,5044/3367, numerators are 4451,5044

Denominators are 559,3367

The GCF of 4451,5044 is 1 .

LCM of 559,3367 is 144781.

The greatest common factor of 4451/559,5044/3367 = [GCF of 4451,5044]/[LCM of 559,3367]= 1/144781

Therefore, the GCF of 4451/559,5044/3367 is 1/144781.

Greatest Common Factor of 4451,5044

To find the highest common factor of 4451,5044, we have to find the factors of both numbers and list the highest common factor.

The factors of 4451 are 1, 4451

The factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044

The HCF of 4451,5044 is 1.

Lets's calculate GCF of 4451,5044

Greatest Common Factor (GCF) of 4451,5044 By Common Division

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

Greatest Common Factor of 4451,5044 By Matching Biggest Common Factor Method

Now, list down the factors of 4451

1,4451

Now, list down the factors of 5044

1,2,4,13,26,52,97,194,388,1261,2522,5044

Greatest Common Factor

We found the factors 4451,5044 . The biggest common factor number is the GCF number.
So the greatest common factor 4451,5044 is 1.

Lets's calculate LCM of 559,3367

Lowest Common Multiple of 559,3367 using Common Division

13	559, 3367
	43, 259

∴ So the LCM of the given numbers is 13 x 43 x 259 = 144781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144781

Therefore, the GCF of Fractions 4451/559,5044/3367 is 1/144781

Least Common Multiple of 559,3367 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 559,3367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,3367) = 13

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

GCF(559,3367) x common factors =13 x 1 = 13

LCM(559,3367) = ( 559 × 3367 ) / 13

LCM(559,3367) = 1882153 / 13

LCM(559,3367) = 144781

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FAQs on GCF of Fractions of 4451/559, 5044/3367

1. What is the HCF of 4451,5044?

The HCF of 4451,5044 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 4451/559, 5044/3367?

Answer: GCF of Numerators as per given numbers 4451/559, 5044/3367 is

GCF of Numerators i.e. for 4451,5044 is 1

LCM of denominators i.e. for 559,3367 is 144781.

Thus, GCF of Fractions is 1/144781.Finally, GCF of Fractions for 4451/559, 5044/3367 is 1/144781.