GCF of 8035/71, 6265/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8035/71, 6265/507 i.e 5/35997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8035/71, 6265/507.
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 8035/71,6265/507?
Given fractions are 8035/71,6265/507
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 8035/71,6265/507, numerators are 8035,6265
Denominators are 71,507
The GCF of 8035,6265 is 5 .
LCM of 71,507 is 35997.
The greatest common factor of 8035/71,6265/507 = [GCF of 8035,6265]/[LCM of 71,507]= 5/35997
Therefore, the GCF of 8035/71,6265/507 is 5/35997.
To find the highest common factor of 8035,6265, we have to find the factors of both numbers and list the highest common factor.
The factors of 8035 are 1, 5, 1607, 8035
The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265
The HCF of 8035,6265 is 5.
Lets's calculate GCF of 8035,6265
| 5 | 8035, 6265 |
| 1607, 1253 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8035,6265 By Matching Biggest Common Factor Method
Now, list down the factors of 8035
:1,5,1607,8035
Now, list down the factors of 6265
:1,5,7,35,179,895,1253,6265
Greatest Common Factor
We found the factors 8035,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 8035,6265 is 5.
Lets's calculate LCM of 71,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 35997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35997
Therefore, the GCF of Fractions 8035/71,6265/507 is 5/35997
Least Common Multiple of 71,507 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 71,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,507) x common factors =1 x 1 = 1
LCM(71,507) = ( 71 × 507 ) / 1
LCM(71,507) = 35997 / 1
LCM(71,507) = 35997
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FAQs on GCF of Fractions of 8035/71, 6265/507
1. What is the HCF of 8035,6265?
The HCF of 8035,6265 is 5
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 8035/71, 6265/507?
Answer: GCF of Numerators as per given numbers 8035/71, 6265/507 is
GCF of Numerators i.e. for 8035,6265 is 5
LCM of denominators i.e. for 71,507 is 35997.
Thus, GCF of Fractions is 5/35997.Finally, GCF of Fractions for 8035/71, 6265/507 is 5/35997.