Use our free GCF of Fractions Calculator tool to compute the GCF of 11/65, 654/47, 150/705 i.e 1/9165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/65, 654/47, 150/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/65,654/47,150/705
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 11/65,654/47,150/705, numerators are 11,654,150
Denominators are 65,47,705
The GCF of 11,654,150 is 1 .
LCM of 65,47,705 is 9165.
The greatest common factor of 11/65,654/47,150/705 = [GCF of 11,654,150]/[LCM of 65,47,705]= 1/9165
Therefore, the GCF of 11/65,654/47,150/705 is 1/9165.
To find the highest common factor of 11,654,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 11,654,150 is 1.
Lets's calculate GCF of 11,654,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 11,654,150 . The biggest common factor number is the GCF number.
So the greatest common factor 11,654,150 is 1.
Lets's calculate LCM of 65,47,705
5 | 65, 47, 705 |
47 | 13, 47, 141 |
13, 1, 3 |
∴ So the LCM of the given numbers is 5 x 47 x 13 x 1 x 3 = 9165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9165
Therefore, the GCF of Fractions 11/65,654/47,150/705 is 1/9165
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 65,47,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,47,705) = 1
common factors(in case of two or more numbers have common factors) = 235
GCF(65,47,705) x common factors =1 x 235 = 235
LCM(65,47,705) = ( 65 × 47 × 705 ) / 235
LCM(65,47,705) = 2153775 / 235
LCM(65,47,705) = 9165
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,654,150?
The HCF of 11,654,150 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 11/65, 654/47, 150/705?
Answer: GCF of Numerators as per given numbers 11/65, 654/47, 150/705 is
GCF of Numerators i.e. for 11,654,150 is 1
LCM of denominators i.e. for 65,47,705 is 9165.
Thus, GCF of Fractions is 1/9165.Finally, GCF of Fractions for 11/65, 654/47, 150/705 is 1/9165.