GCF of 86/12, 35/417, 360/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/12, 35/417, 360/178 i.e 1/148452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/12, 35/417, 360/178.
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 86/12,35/417,360/178?
Given fractions are 86/12,35/417,360/178
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 86/12,35/417,360/178, numerators are 86,35,360
Denominators are 12,417,178
The GCF of 86,35,360 is 1 .
LCM of 12,417,178 is 148452.
The greatest common factor of 86/12,35/417,360/178 = [GCF of 86,35,360]/[LCM of 12,417,178]= 1/148452
Therefore, the GCF of 86/12,35/417,360/178 is 1/148452.
To find the highest common factor of 86,35,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 35 are 1, 5, 7, 35
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 86,35,360 is 1.
Lets's calculate GCF of 86,35,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,35,360 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 86,35,360 . The biggest common factor number is the GCF number.
So the greatest common factor 86,35,360 is 1.
Lets's calculate LCM of 12,417,178
| 2 | 12, 417, 178 |
| 3 | 6, 417, 89 |
| 2, 139, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 139 x 89 = 148452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148452
Therefore, the GCF of Fractions 86/12,35/417,360/178 is 1/148452
Least Common Multiple of 12,417,178 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 12,417,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,417,178) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,417,178) x common factors =1 x 6 = 6
LCM(12,417,178) = ( 12 × 417 × 178 ) / 6
LCM(12,417,178) = 890712 / 6
LCM(12,417,178) = 148452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 86/12, 35/417, 360/178
1. What is the HCF of 86,35,360?
The HCF of 86,35,360 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 86/12, 35/417, 360/178?
Answer: GCF of Numerators as per given numbers 86/12, 35/417, 360/178 is
GCF of Numerators i.e. for 86,35,360 is 1
LCM of denominators i.e. for 12,417,178 is 148452.
Thus, GCF of Fractions is 1/148452.Finally, GCF of Fractions for 86/12, 35/417, 360/178 is 1/148452.