GCF of 8705/603, 8578/6912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8705/603, 8578/6912 i.e 1/463104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8705/603, 8578/6912.
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 8705/603,8578/6912?
Given fractions are 8705/603,8578/6912
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 8705/603,8578/6912, numerators are 8705,8578
Denominators are 603,6912
The GCF of 8705,8578 is 1 .
LCM of 603,6912 is 463104.
The greatest common factor of 8705/603,8578/6912 = [GCF of 8705,8578]/[LCM of 603,6912]= 1/463104
Therefore, the GCF of 8705/603,8578/6912 is 1/463104.
To find the highest common factor of 8705,8578, we have to find the factors of both numbers and list the highest common factor.
The factors of 8705 are 1, 5, 1741, 8705
The factors of 8578 are 1, 2, 4289, 8578
The HCF of 8705,8578 is 1.
Lets's calculate GCF of 8705,8578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8705,8578 By Matching Biggest Common Factor Method
Now, list down the factors of 8705
:1,5,1741,8705
Now, list down the factors of 8578
:1,2,4289,8578
Greatest Common Factor
We found the factors 8705,8578 . The biggest common factor number is the GCF number.
So the greatest common factor 8705,8578 is 1.
Lets's calculate LCM of 603,6912
| 3 | 603, 6912 |
| 3 | 201, 2304 |
| 67, 768 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 768 = 463104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463104
Therefore, the GCF of Fractions 8705/603,8578/6912 is 1/463104
Least Common Multiple of 603,6912 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 603,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,6912) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(603,6912) x common factors =9 x 1 = 9
LCM(603,6912) = ( 603 × 6912 ) / 9
LCM(603,6912) = 4167936 / 9
LCM(603,6912) = 463104
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FAQs on GCF of Fractions of 8705/603, 8578/6912
1. What is the HCF of 8705,8578?
The HCF of 8705,8578 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 8705/603, 8578/6912?
Answer: GCF of Numerators as per given numbers 8705/603, 8578/6912 is
GCF of Numerators i.e. for 8705,8578 is 1
LCM of denominators i.e. for 603,6912 is 463104.
Thus, GCF of Fractions is 1/463104.Finally, GCF of Fractions for 8705/603, 8578/6912 is 1/463104.