GCF of 2605/117, 3362/2731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2605/117, 3362/2731 i.e 1/319527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2605/117, 3362/2731.
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 2605/117,3362/2731?
Given fractions are 2605/117,3362/2731
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 2605/117,3362/2731, numerators are 2605,3362
Denominators are 117,2731
The GCF of 2605,3362 is 1 .
LCM of 117,2731 is 319527.
The greatest common factor of 2605/117,3362/2731 = [GCF of 2605,3362]/[LCM of 117,2731]= 1/319527
Therefore, the GCF of 2605/117,3362/2731 is 1/319527.
To find the highest common factor of 2605,3362, we have to find the factors of both numbers and list the highest common factor.
The factors of 2605 are 1, 5, 521, 2605
The factors of 3362 are 1, 2, 41, 82, 1681, 3362
The HCF of 2605,3362 is 1.
Lets's calculate GCF of 2605,3362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2605,3362 By Matching Biggest Common Factor Method
Now, list down the factors of 2605
:1,5,521,2605
Now, list down the factors of 3362
:1,2,41,82,1681,3362
Greatest Common Factor
We found the factors 2605,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 2605,3362 is 1.
Lets's calculate LCM of 117,2731
Given numbers has no common factors except 1. So, there LCM is their product i.e 319527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319527
Therefore, the GCF of Fractions 2605/117,3362/2731 is 1/319527
Least Common Multiple of 117,2731 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 117,2731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,2731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,2731) x common factors =1 x 1 = 1
LCM(117,2731) = ( 117 × 2731 ) / 1
LCM(117,2731) = 319527 / 1
LCM(117,2731) = 319527
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FAQs on GCF of Fractions of 2605/117, 3362/2731
1. What is the HCF of 2605,3362?
The HCF of 2605,3362 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 2605/117, 3362/2731?
Answer: GCF of Numerators as per given numbers 2605/117, 3362/2731 is
GCF of Numerators i.e. for 2605,3362 is 1
LCM of denominators i.e. for 117,2731 is 319527.
Thus, GCF of Fractions is 1/319527.Finally, GCF of Fractions for 2605/117, 3362/2731 is 1/319527.