GCF of 9257/648, 8705/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9257/648, 8705/720 i.e 1/6480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9257/648, 8705/720.
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 9257/648,8705/720?
Given fractions are 9257/648,8705/720
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 9257/648,8705/720, numerators are 9257,8705
Denominators are 648,720
The GCF of 9257,8705 is 1 .
LCM of 648,720 is 6480.
The greatest common factor of 9257/648,8705/720 = [GCF of 9257,8705]/[LCM of 648,720]= 1/6480
Therefore, the GCF of 9257/648,8705/720 is 1/6480.
To find the highest common factor of 9257,8705, we have to find the factors of both numbers and list the highest common factor.
The factors of 9257 are 1, 9257
The factors of 8705 are 1, 5, 1741, 8705
The HCF of 9257,8705 is 1.
Lets's calculate GCF of 9257,8705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9257,8705 By Matching Biggest Common Factor Method
Now, list down the factors of 9257
:1,9257
Now, list down the factors of 8705
:1,5,1741,8705
Greatest Common Factor
We found the factors 9257,8705 . The biggest common factor number is the GCF number.
So the greatest common factor 9257,8705 is 1.
Lets's calculate LCM of 648,720
| 2 | 648, 720 |
| 2 | 324, 360 |
| 2 | 162, 180 |
| 3 | 81, 90 |
| 3 | 27, 30 |
| 9, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 9 x 10 = 6480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6480
Therefore, the GCF of Fractions 9257/648,8705/720 is 1/6480
Least Common Multiple of 648,720 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 648,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,720) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(648,720) x common factors =72 x 1 = 72
LCM(648,720) = ( 648 × 720 ) / 72
LCM(648,720) = 466560 / 72
LCM(648,720) = 6480
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FAQs on GCF of Fractions of 9257/648, 8705/720
1. What is the HCF of 9257,8705?
The HCF of 9257,8705 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 9257/648, 8705/720?
Answer: GCF of Numerators as per given numbers 9257/648, 8705/720 is
GCF of Numerators i.e. for 9257,8705 is 1
LCM of denominators i.e. for 648,720 is 6480.
Thus, GCF of Fractions is 1/6480.Finally, GCF of Fractions for 9257/648, 8705/720 is 1/6480.