GCF of 150/16, 225/683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/16, 225/683 i.e 75/10928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/16, 225/683.
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 150/16,225/683?
Given fractions are 150/16,225/683
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 150/16,225/683, numerators are 150,225
Denominators are 16,683
The GCF of 150,225 is 75 .
LCM of 16,683 is 10928.
The greatest common factor of 150/16,225/683 = [GCF of 150,225]/[LCM of 16,683]= 75/10928
Therefore, the GCF of 150/16,225/683 is 75/10928.
To find the highest common factor of 150,225, 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 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 150,225 is 75.
Lets's calculate GCF of 150,225
| 3 | 150, 225 |
| 5 | 50, 75 |
| 5 | 10, 15 |
| 2, 3 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 150,225 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 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 150,225 . The biggest common factor number is the GCF number.
So the greatest common factor 150,225 is 75.
Lets's calculate LCM of 16,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 10928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/10928
Therefore, the GCF of Fractions 150/16,225/683 is 75/10928
Least Common Multiple of 16,683 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 16,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,683) x common factors =1 x 1 = 1
LCM(16,683) = ( 16 × 683 ) / 1
LCM(16,683) = 10928 / 1
LCM(16,683) = 10928
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FAQs on GCF of Fractions of 150/16, 225/683
1. What is the HCF of 150,225?
The HCF of 150,225 is 75
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 150/16, 225/683?
Answer: GCF of Numerators as per given numbers 150/16, 225/683 is
GCF of Numerators i.e. for 150,225 is 75
LCM of denominators i.e. for 16,683 is 10928.
Thus, GCF of Fractions is 75/10928.Finally, GCF of Fractions for 150/16, 225/683 is 75/10928.