GCF of 86/67, 818/18, 193/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/67, 818/18, 193/120 i.e 1/24120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/67, 818/18, 193/120.
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 86/67,818/18,193/120?
Given fractions are 86/67,818/18,193/120
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 86/67,818/18,193/120, numerators are 86,818,193
Denominators are 67,18,120
The GCF of 86,818,193 is 1 .
LCM of 67,18,120 is 24120.
The greatest common factor of 86/67,818/18,193/120 = [GCF of 86,818,193]/[LCM of 67,18,120]= 1/24120
Therefore, the GCF of 86/67,818/18,193/120 is 1/24120.
To find the highest common factor of 86,818,193, 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 818 are 1, 2, 409, 818
The factors of 193 are 1, 193
The HCF of 86,818,193 is 1.
Lets's calculate GCF of 86,818,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,818,193 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 86,818,193 . The biggest common factor number is the GCF number.
So the greatest common factor 86,818,193 is 1.
Lets's calculate LCM of 67,18,120
| 2 | 67, 18, 120 |
| 3 | 67, 9, 60 |
| 67, 3, 20 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 3 x 20 = 24120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24120
Therefore, the GCF of Fractions 86/67,818/18,193/120 is 1/24120
Least Common Multiple of 67,18,120 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 67,18,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,18,120) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(67,18,120) x common factors =1 x 6 = 6
LCM(67,18,120) = ( 67 × 18 × 120 ) / 6
LCM(67,18,120) = 144720 / 6
LCM(67,18,120) = 24120
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FAQs on GCF of Fractions of 86/67, 818/18, 193/120
1. What is the HCF of 86,818,193?
The HCF of 86,818,193 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 86/67, 818/18, 193/120?
Answer: GCF of Numerators as per given numbers 86/67, 818/18, 193/120 is
GCF of Numerators i.e. for 86,818,193 is 1
LCM of denominators i.e. for 67,18,120 is 24120.
Thus, GCF of Fractions is 1/24120.Finally, GCF of Fractions for 86/67, 818/18, 193/120 is 1/24120.