How to Find GCF of 5083/673, 4927/1799?

GCF of 5083/673, 4927/1799

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 5083/673, 4927/1799 i.e 13/1210727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5083/673, 4927/1799.

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 5083/673,4927/1799?

Given fractions are 5083/673,4927/1799

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 5083/673,4927/1799, numerators are 5083,4927

Denominators are 673,1799

The GCF of 5083,4927 is 13 .

LCM of 673,1799 is 1210727.

The greatest common factor of 5083/673,4927/1799 = [GCF of 5083,4927]/[LCM of 673,1799]= 13/1210727

Therefore, the GCF of 5083/673,4927/1799 is 13/1210727.

Greatest Common Factor of 5083,4927

To find the highest common factor of 5083,4927, we have to find the factors of both numbers and list the highest common factor.

The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083

The factors of 4927 are 1, 13, 379, 4927

The HCF of 5083,4927 is 13.

Lets's calculate GCF of 5083,4927

Greatest Common Factor (GCF) of 5083,4927 By Common Division

13	5083, 4927
	391, 379

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5083,4927 By Matching Biggest Common Factor Method

Now, list down the factors of 5083

1,13,17,23,221,299,391,5083

Now, list down the factors of 4927

1,13,379,4927

Greatest Common Factor

We found the factors 5083,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 5083,4927 is 13.

Lets's calculate LCM of 673,1799

Lowest Common Multiple of 673,1799 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210727

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1210727

Therefore, the GCF of Fractions 5083/673,4927/1799 is 13/1210727

Least Common Multiple of 673,1799 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 673,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,1799) = 1

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

GCF(673,1799) x common factors =1 x 1 = 1

LCM(673,1799) = ( 673 × 1799 ) / 1

LCM(673,1799) = 1210727 / 1

LCM(673,1799) = 1210727

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5083/673, 4927/1799

1. What is the HCF of 5083,4927?

The HCF of 5083,4927 is 13

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 5083/673, 4927/1799?

Answer: GCF of Numerators as per given numbers 5083/673, 4927/1799 is

GCF of Numerators i.e. for 5083,4927 is 13

LCM of denominators i.e. for 673,1799 is 1210727.

Thus, GCF of Fractions is 13/1210727.Finally, GCF of Fractions for 5083/673, 4927/1799 is 13/1210727.