GCF of 86/150, 394/822, 602/473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/150, 394/822, 602/473 i.e 2/9720150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/150, 394/822, 602/473.
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 86/150,394/822,602/473?
Given fractions are 86/150,394/822,602/473
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 86/150,394/822,602/473, numerators are 86,394,602
Denominators are 150,822,473
The GCF of 86,394,602 is 2 .
LCM of 150,822,473 is 9720150.
The greatest common factor of 86/150,394/822,602/473 = [GCF of 86,394,602]/[LCM of 150,822,473]= 2/9720150
Therefore, the GCF of 86/150,394/822,602/473 is 2/9720150.
To find the highest common factor of 86,394,602, 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 394 are 1, 2, 197, 394
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 86,394,602 is 2.
Lets's calculate GCF of 86,394,602
| 2 | 86, 394, 602 |
| 43, 197, 301 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 86,394,602 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 86,394,602 . The biggest common factor number is the GCF number.
So the greatest common factor 86,394,602 is 2.
Lets's calculate LCM of 150,822,473
| 2 | 150, 822, 473 |
| 3 | 75, 411, 473 |
| 25, 137, 473 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 137 x 473 = 9720150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9720150
Therefore, the GCF of Fractions 86/150,394/822,602/473 is 2/9720150
Least Common Multiple of 150,822,473 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 150,822,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,822,473) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(150,822,473) x common factors =1 x 6 = 6
LCM(150,822,473) = ( 150 × 822 × 473 ) / 6
LCM(150,822,473) = 58320900 / 6
LCM(150,822,473) = 9720150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 86/150, 394/822, 602/473
1. What is the HCF of 86,394,602?
The HCF of 86,394,602 is 2
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 86/150, 394/822, 602/473?
Answer: GCF of Numerators as per given numbers 86/150, 394/822, 602/473 is
GCF of Numerators i.e. for 86,394,602 is 2
LCM of denominators i.e. for 150,822,473 is 9720150.
Thus, GCF of Fractions is 2/9720150.Finally, GCF of Fractions for 86/150, 394/822, 602/473 is 2/9720150.