GCF of 9510/561, 6725/7536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9510/561, 6725/7536 i.e 5/1409232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9510/561, 6725/7536.
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 9510/561,6725/7536?
Given fractions are 9510/561,6725/7536
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 9510/561,6725/7536, numerators are 9510,6725
Denominators are 561,7536
The GCF of 9510,6725 is 5 .
LCM of 561,7536 is 1409232.
The greatest common factor of 9510/561,6725/7536 = [GCF of 9510,6725]/[LCM of 561,7536]= 5/1409232
Therefore, the GCF of 9510/561,6725/7536 is 5/1409232.
To find the highest common factor of 9510,6725, we have to find the factors of both numbers and list the highest common factor.
The factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510
The factors of 6725 are 1, 5, 25, 269, 1345, 6725
The HCF of 9510,6725 is 5.
Lets's calculate GCF of 9510,6725
| 5 | 9510, 6725 |
| 1902, 1345 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9510,6725 By Matching Biggest Common Factor Method
Now, list down the factors of 9510
:1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510
Now, list down the factors of 6725
:1,5,25,269,1345,6725
Greatest Common Factor
We found the factors 9510,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,6725 is 5.
Lets's calculate LCM of 561,7536
| 3 | 561, 7536 |
| 187, 2512 |
∴ So the LCM of the given numbers is 3 x 187 x 2512 = 1409232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1409232
Therefore, the GCF of Fractions 9510/561,6725/7536 is 5/1409232
Least Common Multiple of 561,7536 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 561,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7536) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7536) x common factors =3 x 1 = 3
LCM(561,7536) = ( 561 × 7536 ) / 3
LCM(561,7536) = 4227696 / 3
LCM(561,7536) = 1409232
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9510/561, 6725/7536
1. What is the HCF of 9510,6725?
The HCF of 9510,6725 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 9510/561, 6725/7536?
Answer: GCF of Numerators as per given numbers 9510/561, 6725/7536 is
GCF of Numerators i.e. for 9510,6725 is 5
LCM of denominators i.e. for 561,7536 is 1409232.
Thus, GCF of Fractions is 5/1409232.Finally, GCF of Fractions for 9510/561, 6725/7536 is 5/1409232.