GCF of 8933/522, 8578/9645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8933/522, 8578/9645 i.e 1/1678230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8933/522, 8578/9645.
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 8933/522,8578/9645?
Given fractions are 8933/522,8578/9645
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 8933/522,8578/9645, numerators are 8933,8578
Denominators are 522,9645
The GCF of 8933,8578 is 1 .
LCM of 522,9645 is 1678230.
The greatest common factor of 8933/522,8578/9645 = [GCF of 8933,8578]/[LCM of 522,9645]= 1/1678230
Therefore, the GCF of 8933/522,8578/9645 is 1/1678230.
To find the highest common factor of 8933,8578, we have to find the factors of both numbers and list the highest common factor.
The factors of 8933 are 1, 8933
The factors of 8578 are 1, 2, 4289, 8578
The HCF of 8933,8578 is 1.
Lets's calculate GCF of 8933,8578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8933,8578 By Matching Biggest Common Factor Method
Now, list down the factors of 8933
:1,8933
Now, list down the factors of 8578
:1,2,4289,8578
Greatest Common Factor
We found the factors 8933,8578 . The biggest common factor number is the GCF number.
So the greatest common factor 8933,8578 is 1.
Lets's calculate LCM of 522,9645
| 3 | 522, 9645 |
| 174, 3215 |
∴ So the LCM of the given numbers is 3 x 174 x 3215 = 1678230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1678230
Therefore, the GCF of Fractions 8933/522,8578/9645 is 1/1678230
Least Common Multiple of 522,9645 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 522,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9645) x common factors =3 x 1 = 3
LCM(522,9645) = ( 522 × 9645 ) / 3
LCM(522,9645) = 5034690 / 3
LCM(522,9645) = 1678230
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FAQs on GCF of Fractions of 8933/522, 8578/9645
1. What is the HCF of 8933,8578?
The HCF of 8933,8578 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 8933/522, 8578/9645?
Answer: GCF of Numerators as per given numbers 8933/522, 8578/9645 is
GCF of Numerators i.e. for 8933,8578 is 1
LCM of denominators i.e. for 522,9645 is 1678230.
Thus, GCF of Fractions is 1/1678230.Finally, GCF of Fractions for 8933/522, 8578/9645 is 1/1678230.