GCF of 150/150, 214/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/150, 214/981 i.e 2/49050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/150, 214/981.
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 150/150,214/981?
Given fractions are 150/150,214/981
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 150/150,214/981, numerators are 150,214
Denominators are 150,981
The GCF of 150,214 is 2 .
LCM of 150,981 is 49050.
The greatest common factor of 150/150,214/981 = [GCF of 150,214]/[LCM of 150,981]= 2/49050
Therefore, the GCF of 150/150,214/981 is 2/49050.
To find the highest common factor of 150,214, 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 214 are 1, 2, 107, 214
The HCF of 150,214 is 2.
Lets's calculate GCF of 150,214
| 2 | 150, 214 |
| 75, 107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 150,214 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 214
:1,2,107,214
Greatest Common Factor
We found the factors 150,214 . The biggest common factor number is the GCF number.
So the greatest common factor 150,214 is 2.
Lets's calculate LCM of 150,981
| 3 | 150, 981 |
| 50, 327 |
∴ So the LCM of the given numbers is 3 x 50 x 327 = 49050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49050
Therefore, the GCF of Fractions 150/150,214/981 is 2/49050
Least Common Multiple of 150,981 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 150,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(150,981) x common factors =3 x 1 = 3
LCM(150,981) = ( 150 × 981 ) / 3
LCM(150,981) = 147150 / 3
LCM(150,981) = 49050
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FAQs on GCF of Fractions of 150/150, 214/981
1. What is the HCF of 150,214?
The HCF of 150,214 is 2
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 150/150, 214/981?
Answer: GCF of Numerators as per given numbers 150/150, 214/981 is
GCF of Numerators i.e. for 150,214 is 2
LCM of denominators i.e. for 150,981 is 49050.
Thus, GCF of Fractions is 2/49050.Finally, GCF of Fractions for 150/150, 214/981 is 2/49050.