GCF of 5125/513, 8701/4965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5125/513, 8701/4965 i.e 1/849015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5125/513, 8701/4965.
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 5125/513,8701/4965?
Given fractions are 5125/513,8701/4965
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 5125/513,8701/4965, numerators are 5125,8701
Denominators are 513,4965
The GCF of 5125,8701 is 1 .
LCM of 513,4965 is 849015.
The greatest common factor of 5125/513,8701/4965 = [GCF of 5125,8701]/[LCM of 513,4965]= 1/849015
Therefore, the GCF of 5125/513,8701/4965 is 1/849015.
To find the highest common factor of 5125,8701, we have to find the factors of both numbers and list the highest common factor.
The factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The HCF of 5125,8701 is 1.
Lets's calculate GCF of 5125,8701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5125,8701 By Matching Biggest Common Factor Method
Now, list down the factors of 5125
:1,5,25,41,125,205,1025,5125
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Greatest Common Factor
We found the factors 5125,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 5125,8701 is 1.
Lets's calculate LCM of 513,4965
| 3 | 513, 4965 |
| 171, 1655 |
∴ So the LCM of the given numbers is 3 x 171 x 1655 = 849015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/849015
Therefore, the GCF of Fractions 5125/513,8701/4965 is 1/849015
Least Common Multiple of 513,4965 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 513,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,4965) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,4965) x common factors =3 x 1 = 3
LCM(513,4965) = ( 513 × 4965 ) / 3
LCM(513,4965) = 2547045 / 3
LCM(513,4965) = 849015
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FAQs on GCF of Fractions of 5125/513, 8701/4965
1. What is the HCF of 5125,8701?
The HCF of 5125,8701 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 5125/513, 8701/4965?
Answer: GCF of Numerators as per given numbers 5125/513, 8701/4965 is
GCF of Numerators i.e. for 5125,8701 is 1
LCM of denominators i.e. for 513,4965 is 849015.
Thus, GCF of Fractions is 1/849015.Finally, GCF of Fractions for 5125/513, 8701/4965 is 1/849015.