GCF of 150/65, 400/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/65, 400/448 i.e 50/29120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/65, 400/448.
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 150/65,400/448?
Given fractions are 150/65,400/448
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 150/65,400/448, numerators are 150,400
Denominators are 65,448
The GCF of 150,400 is 50 .
LCM of 65,448 is 29120.
The greatest common factor of 150/65,400/448 = [GCF of 150,400]/[LCM of 65,448]= 50/29120
Therefore, the GCF of 150/65,400/448 is 50/29120.
To find the highest common factor of 150,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 150,400 is 50.
Lets's calculate GCF of 150,400
| 2 | 150, 400 |
| 5 | 75, 200 |
| 5 | 15, 40 |
| 3, 8 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 150,400 By Matching Biggest Common Factor Method
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 150,400 . The biggest common factor number is the GCF number.
So the greatest common factor 150,400 is 50.
Lets's calculate LCM of 65,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 29120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/29120
Therefore, the GCF of Fractions 150/65,400/448 is 50/29120
Least Common Multiple of 65,448 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 65,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,448) x common factors =1 x 1 = 1
LCM(65,448) = ( 65 × 448 ) / 1
LCM(65,448) = 29120 / 1
LCM(65,448) = 29120
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FAQs on GCF of Fractions of 150/65, 400/448
1. What is the HCF of 150,400?
The HCF of 150,400 is 50
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 150/65, 400/448?
Answer: GCF of Numerators as per given numbers 150/65, 400/448 is
GCF of Numerators i.e. for 150,400 is 50
LCM of denominators i.e. for 65,448 is 29120.
Thus, GCF of Fractions is 50/29120.Finally, GCF of Fractions for 150/65, 400/448 is 50/29120.