GCF of 2610/144, 3851/3977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2610/144, 3851/3977 i.e 1/572688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2610/144, 3851/3977.
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 2610/144,3851/3977?
Given fractions are 2610/144,3851/3977
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 2610/144,3851/3977, numerators are 2610,3851
Denominators are 144,3977
The GCF of 2610,3851 is 1 .
LCM of 144,3977 is 572688.
The greatest common factor of 2610/144,3851/3977 = [GCF of 2610,3851]/[LCM of 144,3977]= 1/572688
Therefore, the GCF of 2610/144,3851/3977 is 1/572688.
To find the highest common factor of 2610,3851, we have to find the factors of both numbers and list the highest common factor.
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The factors of 3851 are 1, 3851
The HCF of 2610,3851 is 1.
Lets's calculate GCF of 2610,3851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2610,3851 By Matching Biggest Common Factor Method
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Now, list down the factors of 3851
:1,3851
Greatest Common Factor
We found the factors 2610,3851 . The biggest common factor number is the GCF number.
So the greatest common factor 2610,3851 is 1.
Lets's calculate LCM of 144,3977
Given numbers has no common factors except 1. So, there LCM is their product i.e 572688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572688
Therefore, the GCF of Fractions 2610/144,3851/3977 is 1/572688
Least Common Multiple of 144,3977 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 144,3977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,3977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,3977) x common factors =1 x 1 = 1
LCM(144,3977) = ( 144 × 3977 ) / 1
LCM(144,3977) = 572688 / 1
LCM(144,3977) = 572688
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FAQs on GCF of Fractions of 2610/144, 3851/3977
1. What is the HCF of 2610,3851?
The HCF of 2610,3851 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 2610/144, 3851/3977?
Answer: GCF of Numerators as per given numbers 2610/144, 3851/3977 is
GCF of Numerators i.e. for 2610,3851 is 1
LCM of denominators i.e. for 144,3977 is 572688.
Thus, GCF of Fractions is 1/572688.Finally, GCF of Fractions for 2610/144, 3851/3977 is 1/572688.