GCF of 8027/865, 8067/3575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8027/865, 8067/3575 i.e 1/618475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8027/865, 8067/3575.
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 8027/865,8067/3575?
Given fractions are 8027/865,8067/3575
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 8027/865,8067/3575, numerators are 8027,8067
Denominators are 865,3575
The GCF of 8027,8067 is 1 .
LCM of 865,3575 is 618475.
The greatest common factor of 8027/865,8067/3575 = [GCF of 8027,8067]/[LCM of 865,3575]= 1/618475
Therefore, the GCF of 8027/865,8067/3575 is 1/618475.
To find the highest common factor of 8027,8067, we have to find the factors of both numbers and list the highest common factor.
The factors of 8027 are 1, 23, 349, 8027
The factors of 8067 are 1, 3, 2689, 8067
The HCF of 8027,8067 is 1.
Lets's calculate GCF of 8027,8067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8027,8067 By Matching Biggest Common Factor Method
Now, list down the factors of 8027
:1,23,349,8027
Now, list down the factors of 8067
:1,3,2689,8067
Greatest Common Factor
We found the factors 8027,8067 . The biggest common factor number is the GCF number.
So the greatest common factor 8027,8067 is 1.
Lets's calculate LCM of 865,3575
| 5 | 865, 3575 |
| 173, 715 |
∴ So the LCM of the given numbers is 5 x 173 x 715 = 618475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618475
Therefore, the GCF of Fractions 8027/865,8067/3575 is 1/618475
Least Common Multiple of 865,3575 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 865,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,3575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,3575) x common factors =5 x 1 = 5
LCM(865,3575) = ( 865 × 3575 ) / 5
LCM(865,3575) = 3092375 / 5
LCM(865,3575) = 618475
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8027/865, 8067/3575
1. What is the HCF of 8027,8067?
The HCF of 8027,8067 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 8027/865, 8067/3575?
Answer: GCF of Numerators as per given numbers 8027/865, 8067/3575 is
GCF of Numerators i.e. for 8027,8067 is 1
LCM of denominators i.e. for 865,3575 is 618475.
Thus, GCF of Fractions is 1/618475.Finally, GCF of Fractions for 8027/865, 8067/3575 is 1/618475.