GCF of 8130/193, 8725/4505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8130/193, 8725/4505 i.e 5/869465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8130/193, 8725/4505.
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 8130/193,8725/4505?
Given fractions are 8130/193,8725/4505
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 8130/193,8725/4505, numerators are 8130,8725
Denominators are 193,4505
The GCF of 8130,8725 is 5 .
LCM of 193,4505 is 869465.
The greatest common factor of 8130/193,8725/4505 = [GCF of 8130,8725]/[LCM of 193,4505]= 5/869465
Therefore, the GCF of 8130/193,8725/4505 is 5/869465.
To find the highest common factor of 8130,8725, we have to find the factors of both numbers and list the highest common factor.
The factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130
The factors of 8725 are 1, 5, 25, 349, 1745, 8725
The HCF of 8130,8725 is 5.
Lets's calculate GCF of 8130,8725
| 5 | 8130, 8725 |
| 1626, 1745 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8130,8725 By Matching Biggest Common Factor Method
Now, list down the factors of 8130
:1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130
Now, list down the factors of 8725
:1,5,25,349,1745,8725
Greatest Common Factor
We found the factors 8130,8725 . The biggest common factor number is the GCF number.
So the greatest common factor 8130,8725 is 5.
Lets's calculate LCM of 193,4505
Given numbers has no common factors except 1. So, there LCM is their product i.e 869465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/869465
Therefore, the GCF of Fractions 8130/193,8725/4505 is 5/869465
Least Common Multiple of 193,4505 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 193,4505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,4505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,4505) x common factors =1 x 1 = 1
LCM(193,4505) = ( 193 × 4505 ) / 1
LCM(193,4505) = 869465 / 1
LCM(193,4505) = 869465
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FAQs on GCF of Fractions of 8130/193, 8725/4505
1. What is the HCF of 8130,8725?
The HCF of 8130,8725 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 8130/193, 8725/4505?
Answer: GCF of Numerators as per given numbers 8130/193, 8725/4505 is
GCF of Numerators i.e. for 8130,8725 is 5
LCM of denominators i.e. for 193,4505 is 869465.
Thus, GCF of Fractions is 5/869465.Finally, GCF of Fractions for 8130/193, 8725/4505 is 5/869465.