GCF of 12/127, 150/747, 332/257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 12/127, 150/747, 332/257 i.e 2/24381333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/127, 150/747, 332/257.
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 12/127,150/747,332/257?
Given fractions are 12/127,150/747,332/257
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 12/127,150/747,332/257, numerators are 12,150,332
Denominators are 127,747,257
The GCF of 12,150,332 is 2 .
LCM of 127,747,257 is 24381333.
The greatest common factor of 12/127,150/747,332/257 = [GCF of 12,150,332]/[LCM of 127,747,257]= 2/24381333
Therefore, the GCF of 12/127,150/747,332/257 is 2/24381333.
To find the highest common factor of 12,150,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 12,150,332 is 2.
Lets's calculate GCF of 12,150,332
| 2 | 12, 150, 332 |
| 6, 75, 166 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 12,150,332 By Matching Biggest Common Factor Method
Now, list down the factors of 12
:1,2,3,4,6,12
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 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 12,150,332 . The biggest common factor number is the GCF number.
So the greatest common factor 12,150,332 is 2.
Lets's calculate LCM of 127,747,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 24381333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24381333
Therefore, the GCF of Fractions 12/127,150/747,332/257 is 2/24381333
Least Common Multiple of 127,747,257 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 127,747,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,747,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,747,257) x common factors =1 x 1 = 1
LCM(127,747,257) = ( 127 × 747 × 257 ) / 1
LCM(127,747,257) = 24381333 / 1
LCM(127,747,257) = 24381333
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 12/127, 150/747, 332/257
1. What is the HCF of 12,150,332?
The HCF of 12,150,332 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 12/127, 150/747, 332/257?
Answer: GCF of Numerators as per given numbers 12/127, 150/747, 332/257 is
GCF of Numerators i.e. for 12,150,332 is 2
LCM of denominators i.e. for 127,747,257 is 24381333.
Thus, GCF of Fractions is 2/24381333.Finally, GCF of Fractions for 12/127, 150/747, 332/257 is 2/24381333.