How to Find GCF of 5798/424, 1313/6661?

GCF of 5798/424, 1313/6661

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 5798/424, 1313/6661 i.e 13/2824264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5798/424, 1313/6661.

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 5798/424,1313/6661?

Given fractions are 5798/424,1313/6661

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 5798/424,1313/6661, numerators are 5798,1313

Denominators are 424,6661

The GCF of 5798,1313 is 13 .

LCM of 424,6661 is 2824264.

The greatest common factor of 5798/424,1313/6661 = [GCF of 5798,1313]/[LCM of 424,6661]= 13/2824264

Therefore, the GCF of 5798/424,1313/6661 is 13/2824264.

Greatest Common Factor of 5798,1313

To find the highest common factor of 5798,1313, we have to find the factors of both numbers and list the highest common factor.

The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798

The factors of 1313 are 1, 13, 101, 1313

The HCF of 5798,1313 is 13.

Lets's calculate GCF of 5798,1313

Greatest Common Factor (GCF) of 5798,1313 By Common Division

13	5798, 1313
	446, 101

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

Greatest Common Factor of 5798,1313 By Matching Biggest Common Factor Method

Now, list down the factors of 5798

1,2,13,26,223,446,2899,5798

Now, list down the factors of 1313

1,13,101,1313

Greatest Common Factor

We found the factors 5798,1313 . The biggest common factor number is the GCF number.
So the greatest common factor 5798,1313 is 13.

Lets's calculate LCM of 424,6661

Lowest Common Multiple of 424,6661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2824264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2824264

Therefore, the GCF of Fractions 5798/424,1313/6661 is 13/2824264

Least Common Multiple of 424,6661 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 424,6661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,6661) = 1

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

GCF(424,6661) x common factors =1 x 1 = 1

LCM(424,6661) = ( 424 × 6661 ) / 1

LCM(424,6661) = 2824264 / 1

LCM(424,6661) = 2824264

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FAQs on GCF of Fractions of 5798/424, 1313/6661

1. What is the HCF of 5798,1313?

The HCF of 5798,1313 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 5798/424, 1313/6661?

Answer: GCF of Numerators as per given numbers 5798/424, 1313/6661 is

GCF of Numerators i.e. for 5798,1313 is 13

LCM of denominators i.e. for 424,6661 is 2824264.

Thus, GCF of Fractions is 13/2824264.Finally, GCF of Fractions for 5798/424, 1313/6661 is 13/2824264.