GCF of 8/31, 728/55, 150/63
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/31, 728/55, 150/63 i.e 2/107415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/31, 728/55, 150/63.
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 8/31,728/55,150/63?
Given fractions are 8/31,728/55,150/63
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 8/31,728/55,150/63, numerators are 8,728,150
Denominators are 31,55,63
The GCF of 8,728,150 is 2 .
LCM of 31,55,63 is 107415.
The greatest common factor of 8/31,728/55,150/63 = [GCF of 8,728,150]/[LCM of 31,55,63]= 2/107415
Therefore, the GCF of 8/31,728/55,150/63 is 2/107415.
To find the highest common factor of 8,728,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 8,728,150 is 2.
Lets's calculate GCF of 8,728,150
| 2 | 8, 728, 150 |
| 4, 364, 75 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,728,150 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 8,728,150 . The biggest common factor number is the GCF number.
So the greatest common factor 8,728,150 is 2.
Lets's calculate LCM of 31,55,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 107415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107415
Therefore, the GCF of Fractions 8/31,728/55,150/63 is 2/107415
Least Common Multiple of 31,55,63 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 31,55,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,55,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,55,63) x common factors =1 x 1 = 1
LCM(31,55,63) = ( 31 × 55 × 63 ) / 1
LCM(31,55,63) = 107415 / 1
LCM(31,55,63) = 107415
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FAQs on GCF of Fractions of 8/31, 728/55, 150/63
1. What is the HCF of 8,728,150?
The HCF of 8,728,150 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 8/31, 728/55, 150/63?
Answer: GCF of Numerators as per given numbers 8/31, 728/55, 150/63 is
GCF of Numerators i.e. for 8,728,150 is 2
LCM of denominators i.e. for 31,55,63 is 107415.
Thus, GCF of Fractions is 2/107415.Finally, GCF of Fractions for 8/31, 728/55, 150/63 is 2/107415.