GCF of 450/385, 963/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 450/385, 963/155 i.e 9/11935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/385, 963/155.
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 450/385,963/155?
Given fractions are 450/385,963/155
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 450/385,963/155, numerators are 450,963
Denominators are 385,155
The GCF of 450,963 is 9 .
LCM of 385,155 is 11935.
The greatest common factor of 450/385,963/155 = [GCF of 450,963]/[LCM of 385,155]= 9/11935
Therefore, the GCF of 450/385,963/155 is 9/11935.
To find the highest common factor of 450,963, we have to find the factors of both numbers and list the highest common factor.
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 963 are 1, 3, 9, 107, 321, 963
The HCF of 450,963 is 9.
Lets's calculate GCF of 450,963
| 3 | 450, 963 |
| 3 | 150, 321 |
| 50, 107 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 450,963 By Matching Biggest Common Factor Method
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 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 450,963 . The biggest common factor number is the GCF number.
So the greatest common factor 450,963 is 9.
Lets's calculate LCM of 385,155
| 5 | 385, 155 |
| 77, 31 |
∴ So the LCM of the given numbers is 5 x 77 x 31 = 11935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/11935
Therefore, the GCF of Fractions 450/385,963/155 is 9/11935
Least Common Multiple of 385,155 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 385,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(385,155) x common factors =5 x 1 = 5
LCM(385,155) = ( 385 × 155 ) / 5
LCM(385,155) = 59675 / 5
LCM(385,155) = 11935
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FAQs on GCF of Fractions of 450/385, 963/155
1. What is the HCF of 450,963?
The HCF of 450,963 is 9
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 450/385, 963/155?
Answer: GCF of Numerators as per given numbers 450/385, 963/155 is
GCF of Numerators i.e. for 450,963 is 9
LCM of denominators i.e. for 385,155 is 11935.
Thus, GCF of Fractions is 9/11935.Finally, GCF of Fractions for 450/385, 963/155 is 9/11935.