GCF of 9545/912, 8520/9713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9545/912, 8520/9713 i.e 5/8858256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9545/912, 8520/9713.
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 9545/912,8520/9713?
Given fractions are 9545/912,8520/9713
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 9545/912,8520/9713, numerators are 9545,8520
Denominators are 912,9713
The GCF of 9545,8520 is 5 .
LCM of 912,9713 is 8858256.
The greatest common factor of 9545/912,8520/9713 = [GCF of 9545,8520]/[LCM of 912,9713]= 5/8858256
Therefore, the GCF of 9545/912,8520/9713 is 5/8858256.
To find the highest common factor of 9545,8520, we have to find the factors of both numbers and list the highest common factor.
The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545
The factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The HCF of 9545,8520 is 5.
Lets's calculate GCF of 9545,8520
| 5 | 9545, 8520 |
| 1909, 1704 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9545,8520 By Matching Biggest Common Factor Method
Now, list down the factors of 9545
:1,5,23,83,115,415,1909,9545
Now, list down the factors of 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Greatest Common Factor
We found the factors 9545,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 9545,8520 is 5.
Lets's calculate LCM of 912,9713
Given numbers has no common factors except 1. So, there LCM is their product i.e 8858256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8858256
Therefore, the GCF of Fractions 9545/912,8520/9713 is 5/8858256
Least Common Multiple of 912,9713 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 912,9713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,9713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,9713) x common factors =1 x 1 = 1
LCM(912,9713) = ( 912 × 9713 ) / 1
LCM(912,9713) = 8858256 / 1
LCM(912,9713) = 8858256
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9545/912, 8520/9713
1. What is the HCF of 9545,8520?
The HCF of 9545,8520 is 5
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 9545/912, 8520/9713?
Answer: GCF of Numerators as per given numbers 9545/912, 8520/9713 is
GCF of Numerators i.e. for 9545,8520 is 5
LCM of denominators i.e. for 912,9713 is 8858256.
Thus, GCF of Fractions is 5/8858256.Finally, GCF of Fractions for 9545/912, 8520/9713 is 5/8858256.