GCF of 453/150, 408/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/150, 408/960 i.e 3/4800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/150, 408/960.
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 453/150,408/960?
Given fractions are 453/150,408/960
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 453/150,408/960, numerators are 453,408
Denominators are 150,960
The GCF of 453,408 is 3 .
LCM of 150,960 is 4800.
The greatest common factor of 453/150,408/960 = [GCF of 453,408]/[LCM of 150,960]= 3/4800
Therefore, the GCF of 453/150,408/960 is 3/4800.
To find the highest common factor of 453,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 453,408 is 3.
Lets's calculate GCF of 453,408
| 3 | 453, 408 |
| 151, 136 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 453,408 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 453,408 . The biggest common factor number is the GCF number.
So the greatest common factor 453,408 is 3.
Lets's calculate LCM of 150,960
| 2 | 150, 960 |
| 3 | 75, 480 |
| 5 | 25, 160 |
| 5, 32 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 32 = 4800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4800
Therefore, the GCF of Fractions 453/150,408/960 is 3/4800
Least Common Multiple of 150,960 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 150,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,960) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(150,960) x common factors =30 x 1 = 30
LCM(150,960) = ( 150 × 960 ) / 30
LCM(150,960) = 144000 / 30
LCM(150,960) = 4800
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FAQs on GCF of Fractions of 453/150, 408/960
1. What is the HCF of 453,408?
The HCF of 453,408 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 453/150, 408/960?
Answer: GCF of Numerators as per given numbers 453/150, 408/960 is
GCF of Numerators i.e. for 453,408 is 3
LCM of denominators i.e. for 150,960 is 4800.
Thus, GCF of Fractions is 3/4800.Finally, GCF of Fractions for 453/150, 408/960 is 3/4800.