GCF of 86/54, 596/64, 217/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/54, 596/64, 217/492 i.e 1/70848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/54, 596/64, 217/492.
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 86/54,596/64,217/492?
Given fractions are 86/54,596/64,217/492
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 86/54,596/64,217/492, numerators are 86,596,217
Denominators are 54,64,492
The GCF of 86,596,217 is 1 .
LCM of 54,64,492 is 70848.
The greatest common factor of 86/54,596/64,217/492 = [GCF of 86,596,217]/[LCM of 54,64,492]= 1/70848
Therefore, the GCF of 86/54,596/64,217/492 is 1/70848.
To find the highest common factor of 86,596,217, 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 596 are 1, 2, 4, 149, 298, 596
The factors of 217 are 1, 7, 31, 217
The HCF of 86,596,217 is 1.
Lets's calculate GCF of 86,596,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,596,217 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 596
:1,2,4,149,298,596
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 86,596,217 . The biggest common factor number is the GCF number.
So the greatest common factor 86,596,217 is 1.
Lets's calculate LCM of 54,64,492
| 2 | 54, 64, 492 |
| 2 | 27, 32, 246 |
| 3 | 27, 16, 123 |
| 9, 16, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 16 x 41 = 70848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70848
Therefore, the GCF of Fractions 86/54,596/64,217/492 is 1/70848
Least Common Multiple of 54,64,492 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 54,64,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,64,492) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(54,64,492) x common factors =2 x 12 = 24
LCM(54,64,492) = ( 54 × 64 × 492 ) / 24
LCM(54,64,492) = 1700352 / 24
LCM(54,64,492) = 70848
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 86/54, 596/64, 217/492
1. What is the HCF of 86,596,217?
The HCF of 86,596,217 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 86/54, 596/64, 217/492?
Answer: GCF of Numerators as per given numbers 86/54, 596/64, 217/492 is
GCF of Numerators i.e. for 86,596,217 is 1
LCM of denominators i.e. for 54,64,492 is 70848.
Thus, GCF of Fractions is 1/70848.Finally, GCF of Fractions for 86/54, 596/64, 217/492 is 1/70848.