GCF of 141/720, 450/215, 384/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/720, 450/215, 384/390 i.e 3/402480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/720, 450/215, 384/390.
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 141/720,450/215,384/390?
Given fractions are 141/720,450/215,384/390
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 141/720,450/215,384/390, numerators are 141,450,384
Denominators are 720,215,390
The GCF of 141,450,384 is 3 .
LCM of 720,215,390 is 402480.
The greatest common factor of 141/720,450/215,384/390 = [GCF of 141,450,384]/[LCM of 720,215,390]= 3/402480
Therefore, the GCF of 141/720,450/215,384/390 is 3/402480.
To find the highest common factor of 141,450,384, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The HCF of 141,450,384 is 3.
Lets's calculate GCF of 141,450,384
| 3 | 141, 450, 384 |
| 47, 150, 128 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 141,450,384 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 141,450,384 . The biggest common factor number is the GCF number.
So the greatest common factor 141,450,384 is 3.
Lets's calculate LCM of 720,215,390
| 2 | 720, 215, 390 |
| 3 | 360, 215, 195 |
| 5 | 120, 215, 65 |
| 24, 43, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 24 x 43 x 13 = 402480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/402480
Therefore, the GCF of Fractions 141/720,450/215,384/390 is 3/402480
Least Common Multiple of 720,215,390 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 720,215,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,215,390) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(720,215,390) x common factors =5 x 30 = 150
LCM(720,215,390) = ( 720 × 215 × 390 ) / 150
LCM(720,215,390) = 60372000 / 150
LCM(720,215,390) = 402480
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FAQs on GCF of Fractions of 141/720, 450/215, 384/390
1. What is the HCF of 141,450,384?
The HCF of 141,450,384 is 3
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 141/720, 450/215, 384/390?
Answer: GCF of Numerators as per given numbers 141/720, 450/215, 384/390 is
GCF of Numerators i.e. for 141,450,384 is 3
LCM of denominators i.e. for 720,215,390 is 402480.
Thus, GCF of Fractions is 3/402480.Finally, GCF of Fractions for 141/720, 450/215, 384/390 is 3/402480.