GCF of 150/921, 661/979, 236/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/921, 661/979, 236/978 i.e 1/293940834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/921, 661/979, 236/978.
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 150/921,661/979,236/978?
Given fractions are 150/921,661/979,236/978
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 150/921,661/979,236/978, numerators are 150,661,236
Denominators are 921,979,978
The GCF of 150,661,236 is 1 .
LCM of 921,979,978 is 293940834.
The greatest common factor of 150/921,661/979,236/978 = [GCF of 150,661,236]/[LCM of 921,979,978]= 1/293940834
Therefore, the GCF of 150/921,661/979,236/978 is 1/293940834.
To find the highest common factor of 150,661,236, 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 661 are 1, 661
The factors of 236 are 1, 2, 4, 59, 118, 236
The HCF of 150,661,236 is 1.
Lets's calculate GCF of 150,661,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 150,661,236 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 661
:1,661
Now, list down the factors of 236
:1,2,4,59,118,236
Greatest Common Factor
We found the factors 150,661,236 . The biggest common factor number is the GCF number.
So the greatest common factor 150,661,236 is 1.
Lets's calculate LCM of 921,979,978
| 3 | 921, 979, 978 |
| 307, 979, 326 |
∴ So the LCM of the given numbers is 3 x 307 x 979 x 326 = 293940834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293940834
Therefore, the GCF of Fractions 150/921,661/979,236/978 is 1/293940834
Least Common Multiple of 921,979,978 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 921,979,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,979,978) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(921,979,978) x common factors =1 x 3 = 3
LCM(921,979,978) = ( 921 × 979 × 978 ) / 3
LCM(921,979,978) = 881822502 / 3
LCM(921,979,978) = 293940834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 150/921, 661/979, 236/978
1. What is the HCF of 150,661,236?
The HCF of 150,661,236 is 1
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 150/921, 661/979, 236/978?
Answer: GCF of Numerators as per given numbers 150/921, 661/979, 236/978 is
GCF of Numerators i.e. for 150,661,236 is 1
LCM of denominators i.e. for 921,979,978 is 293940834.
Thus, GCF of Fractions is 1/293940834.Finally, GCF of Fractions for 150/921, 661/979, 236/978 is 1/293940834.