How to Find GCF of 2419/666, 5362/1097?

GCF of 2419/666, 5362/1097

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 2419/666, 5362/1097 i.e 1/730602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2419/666, 5362/1097.

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 2419/666,5362/1097?

Given fractions are 2419/666,5362/1097

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 2419/666,5362/1097, numerators are 2419,5362

Denominators are 666,1097

The GCF of 2419,5362 is 1 .

LCM of 666,1097 is 730602.

The greatest common factor of 2419/666,5362/1097 = [GCF of 2419,5362]/[LCM of 666,1097]= 1/730602

Therefore, the GCF of 2419/666,5362/1097 is 1/730602.

Greatest Common Factor of 2419,5362

To find the highest common factor of 2419,5362, we have to find the factors of both numbers and list the highest common factor.

The factors of 2419 are 1, 41, 59, 2419

The factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362

The HCF of 2419,5362 is 1.

Lets's calculate GCF of 2419,5362

Greatest Common Factor (GCF) of 2419,5362 By Common Division

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

Greatest Common Factor of 2419,5362 By Matching Biggest Common Factor Method

Now, list down the factors of 2419

1,41,59,2419

Now, list down the factors of 5362

1,2,7,14,383,766,2681,5362

Greatest Common Factor

We found the factors 2419,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 2419,5362 is 1.

Lets's calculate LCM of 666,1097

Lowest Common Multiple of 666,1097 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 730602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730602

Therefore, the GCF of Fractions 2419/666,5362/1097 is 1/730602

Least Common Multiple of 666,1097 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 666,1097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,1097) = 1

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

GCF(666,1097) x common factors =1 x 1 = 1

LCM(666,1097) = ( 666 × 1097 ) / 1

LCM(666,1097) = 730602 / 1

LCM(666,1097) = 730602

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FAQs on GCF of Fractions of 2419/666, 5362/1097

1. What is the HCF of 2419,5362?

The HCF of 2419,5362 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 2419/666, 5362/1097?

Answer: GCF of Numerators as per given numbers 2419/666, 5362/1097 is

GCF of Numerators i.e. for 2419,5362 is 1

LCM of denominators i.e. for 666,1097 is 730602.

Thus, GCF of Fractions is 1/730602.Finally, GCF of Fractions for 2419/666, 5362/1097 is 1/730602.