GCF of 120/131, 915/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 120/131, 915/727 i.e 15/95237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 120/131, 915/727.
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 120/131,915/727?
Given fractions are 120/131,915/727
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 120/131,915/727, numerators are 120,915
Denominators are 131,727
The GCF of 120,915 is 15 .
LCM of 131,727 is 95237.
The greatest common factor of 120/131,915/727 = [GCF of 120,915]/[LCM of 131,727]= 15/95237
Therefore, the GCF of 120/131,915/727 is 15/95237.
To find the highest common factor of 120,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 120,915 is 15.
Lets's calculate GCF of 120,915
| 3 | 120, 915 |
| 5 | 40, 305 |
| 8, 61 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 120,915 By Matching Biggest Common Factor Method
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 120,915 . The biggest common factor number is the GCF number.
So the greatest common factor 120,915 is 15.
Lets's calculate LCM of 131,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 95237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/95237
Therefore, the GCF of Fractions 120/131,915/727 is 15/95237
Least Common Multiple of 131,727 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 131,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,727) x common factors =1 x 1 = 1
LCM(131,727) = ( 131 × 727 ) / 1
LCM(131,727) = 95237 / 1
LCM(131,727) = 95237
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 120/131, 915/727
1. What is the HCF of 120,915?
The HCF of 120,915 is 15
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 120/131, 915/727?
Answer: GCF of Numerators as per given numbers 120/131, 915/727 is
GCF of Numerators i.e. for 120,915 is 15
LCM of denominators i.e. for 131,727 is 95237.
Thus, GCF of Fractions is 15/95237.Finally, GCF of Fractions for 120/131, 915/727 is 15/95237.