GCF of 2113/627, 4580/7905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2113/627, 4580/7905 i.e 1/1652145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2113/627, 4580/7905.
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 2113/627,4580/7905?
Given fractions are 2113/627,4580/7905
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 2113/627,4580/7905, numerators are 2113,4580
Denominators are 627,7905
The GCF of 2113,4580 is 1 .
LCM of 627,7905 is 1652145.
The greatest common factor of 2113/627,4580/7905 = [GCF of 2113,4580]/[LCM of 627,7905]= 1/1652145
Therefore, the GCF of 2113/627,4580/7905 is 1/1652145.
To find the highest common factor of 2113,4580, we have to find the factors of both numbers and list the highest common factor.
The factors of 2113 are 1, 2113
The factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580
The HCF of 2113,4580 is 1.
Lets's calculate GCF of 2113,4580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2113,4580 By Matching Biggest Common Factor Method
Now, list down the factors of 2113
:1,2113
Now, list down the factors of 4580
:1,2,4,5,10,20,229,458,916,1145,2290,4580
Greatest Common Factor
We found the factors 2113,4580 . The biggest common factor number is the GCF number.
So the greatest common factor 2113,4580 is 1.
Lets's calculate LCM of 627,7905
| 3 | 627, 7905 |
| 209, 2635 |
∴ So the LCM of the given numbers is 3 x 209 x 2635 = 1652145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1652145
Therefore, the GCF of Fractions 2113/627,4580/7905 is 1/1652145
Least Common Multiple of 627,7905 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 627,7905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,7905) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(627,7905) x common factors =3 x 1 = 3
LCM(627,7905) = ( 627 × 7905 ) / 3
LCM(627,7905) = 4956435 / 3
LCM(627,7905) = 1652145
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FAQs on GCF of Fractions of 2113/627, 4580/7905
1. What is the HCF of 2113,4580?
The HCF of 2113,4580 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 2113/627, 4580/7905?
Answer: GCF of Numerators as per given numbers 2113/627, 4580/7905 is
GCF of Numerators i.e. for 2113,4580 is 1
LCM of denominators i.e. for 627,7905 is 1652145.
Thus, GCF of Fractions is 1/1652145.Finally, GCF of Fractions for 2113/627, 4580/7905 is 1/1652145.