GCF of 863/415, 320/800, 971/150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 863/415, 320/800, 971/150 i.e 1/199200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/415, 320/800, 971/150.
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 863/415,320/800,971/150?
Given fractions are 863/415,320/800,971/150
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 863/415,320/800,971/150, numerators are 863,320,971
Denominators are 415,800,150
The GCF of 863,320,971 is 1 .
LCM of 415,800,150 is 199200.
The greatest common factor of 863/415,320/800,971/150 = [GCF of 863,320,971]/[LCM of 415,800,150]= 1/199200
Therefore, the GCF of 863/415,320/800,971/150 is 1/199200.
To find the highest common factor of 863,320,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The factors of 971 are 1, 971
The HCF of 863,320,971 is 1.
Lets's calculate GCF of 863,320,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 863,320,971 By Matching Biggest Common Factor Method
Now, list down the factors of 863
:1,863
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 863,320,971 . The biggest common factor number is the GCF number.
So the greatest common factor 863,320,971 is 1.
Lets's calculate LCM of 415,800,150
| 2 | 415, 800, 150 |
| 5 | 415, 400, 75 |
| 5 | 83, 80, 15 |
| 83, 16, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 83 x 16 x 3 = 199200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199200
Therefore, the GCF of Fractions 863/415,320/800,971/150 is 1/199200
Least Common Multiple of 415,800,150 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 415,800,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,800,150) = 5
common factors(in case of two or more numbers have common factors) = 50
GCF(415,800,150) x common factors =5 x 50 = 250
LCM(415,800,150) = ( 415 × 800 × 150 ) / 250
LCM(415,800,150) = 49800000 / 250
LCM(415,800,150) = 199200
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FAQs on GCF of Fractions of 863/415, 320/800, 971/150
1. What is the HCF of 863,320,971?
The HCF of 863,320,971 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 863/415, 320/800, 971/150?
Answer: GCF of Numerators as per given numbers 863/415, 320/800, 971/150 is
GCF of Numerators i.e. for 863,320,971 is 1
LCM of denominators i.e. for 415,800,150 is 199200.
Thus, GCF of Fractions is 1/199200.Finally, GCF of Fractions for 863/415, 320/800, 971/150 is 1/199200.