GCF of 9607/728, 4830/7250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9607/728, 4830/7250 i.e 1/2639000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9607/728, 4830/7250.
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 9607/728,4830/7250?
Given fractions are 9607/728,4830/7250
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 9607/728,4830/7250, numerators are 9607,4830
Denominators are 728,7250
The GCF of 9607,4830 is 1 .
LCM of 728,7250 is 2639000.
The greatest common factor of 9607/728,4830/7250 = [GCF of 9607,4830]/[LCM of 728,7250]= 1/2639000
Therefore, the GCF of 9607/728,4830/7250 is 1/2639000.
To find the highest common factor of 9607,4830, we have to find the factors of both numbers and list the highest common factor.
The factors of 9607 are 1, 13, 739, 9607
The factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
The HCF of 9607,4830 is 1.
Lets's calculate GCF of 9607,4830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9607,4830 By Matching Biggest Common Factor Method
Now, list down the factors of 9607
:1,13,739,9607
Now, list down the factors of 4830
:1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830
Greatest Common Factor
We found the factors 9607,4830 . The biggest common factor number is the GCF number.
So the greatest common factor 9607,4830 is 1.
Lets's calculate LCM of 728,7250
| 2 | 728, 7250 |
| 364, 3625 |
∴ So the LCM of the given numbers is 2 x 364 x 3625 = 2639000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2639000
Therefore, the GCF of Fractions 9607/728,4830/7250 is 1/2639000
Least Common Multiple of 728,7250 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 728,7250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,7250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,7250) x common factors =2 x 1 = 2
LCM(728,7250) = ( 728 × 7250 ) / 2
LCM(728,7250) = 5278000 / 2
LCM(728,7250) = 2639000
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FAQs on GCF of Fractions of 9607/728, 4830/7250
1. What is the HCF of 9607,4830?
The HCF of 9607,4830 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 9607/728, 4830/7250?
Answer: GCF of Numerators as per given numbers 9607/728, 4830/7250 is
GCF of Numerators i.e. for 9607,4830 is 1
LCM of denominators i.e. for 728,7250 is 2639000.
Thus, GCF of Fractions is 1/2639000.Finally, GCF of Fractions for 9607/728, 4830/7250 is 1/2639000.