How to Find GCF of 4943/561, 8649/1903?

GCF of 4943/561, 8649/1903

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 4943/561, 8649/1903 i.e 1/97053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4943/561, 8649/1903.

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 4943/561,8649/1903?

Given fractions are 4943/561,8649/1903

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 4943/561,8649/1903, numerators are 4943,8649

Denominators are 561,1903

The GCF of 4943,8649 is 1 .

LCM of 561,1903 is 97053.

The greatest common factor of 4943/561,8649/1903 = [GCF of 4943,8649]/[LCM of 561,1903]= 1/97053

Therefore, the GCF of 4943/561,8649/1903 is 1/97053.

Greatest Common Factor of 4943,8649

To find the highest common factor of 4943,8649, we have to find the factors of both numbers and list the highest common factor.

The factors of 4943 are 1, 4943

The factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649

The HCF of 4943,8649 is 1.

Lets's calculate GCF of 4943,8649

Greatest Common Factor (GCF) of 4943,8649 By Common Division

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

Greatest Common Factor of 4943,8649 By Matching Biggest Common Factor Method

Now, list down the factors of 4943

1,4943

Now, list down the factors of 8649

1,3,9,31,93,279,961,2883,8649

Greatest Common Factor

We found the factors 4943,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 4943,8649 is 1.

Lets's calculate LCM of 561,1903

Lowest Common Multiple of 561,1903 using Common Division

11	561, 1903
	51, 173

∴ So the LCM of the given numbers is 11 x 51 x 173 = 97053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97053

Therefore, the GCF of Fractions 4943/561,8649/1903 is 1/97053

Least Common Multiple of 561,1903 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 561,1903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,1903) = 11

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

GCF(561,1903) x common factors =11 x 1 = 11

LCM(561,1903) = ( 561 × 1903 ) / 11

LCM(561,1903) = 1067583 / 11

LCM(561,1903) = 97053

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FAQs on GCF of Fractions of 4943/561, 8649/1903

1. What is the HCF of 4943,8649?

The HCF of 4943,8649 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 4943/561, 8649/1903?

Answer: GCF of Numerators as per given numbers 4943/561, 8649/1903 is

GCF of Numerators i.e. for 4943,8649 is 1

LCM of denominators i.e. for 561,1903 is 97053.

Thus, GCF of Fractions is 1/97053.Finally, GCF of Fractions for 4943/561, 8649/1903 is 1/97053.