Use our free GCF of Fractions Calculator tool to compute the GCF of 65/153, 760/679, 100/656 i.e 5/68149872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/153, 760/679, 100/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/153,760/679,100/656
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 65/153,760/679,100/656, numerators are 65,760,100
Denominators are 153,679,656
The GCF of 65,760,100 is 5 .
LCM of 153,679,656 is 68149872.
The greatest common factor of 65/153,760/679,100/656 = [GCF of 65,760,100]/[LCM of 153,679,656]= 5/68149872
Therefore, the GCF of 65/153,760/679,100/656 is 5/68149872.
To find the highest common factor of 65,760,100, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The HCF of 65,760,100 is 5.
Lets's calculate GCF of 65,760,100
5 | 65, 760, 100 |
13, 152, 20 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 65,760,100 . The biggest common factor number is the GCF number.
So the greatest common factor 65,760,100 is 5.
Lets's calculate LCM of 153,679,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 68149872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/68149872
Therefore, the GCF of Fractions 65/153,760/679,100/656 is 5/68149872
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 153,679,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,679,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,679,656) x common factors =1 x 1 = 1
LCM(153,679,656) = ( 153 × 679 × 656 ) / 1
LCM(153,679,656) = 68149872 / 1
LCM(153,679,656) = 68149872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,760,100?
The HCF of 65,760,100 is 5
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 65/153, 760/679, 100/656?
Answer: GCF of Numerators as per given numbers 65/153, 760/679, 100/656 is
GCF of Numerators i.e. for 65,760,100 is 5
LCM of denominators i.e. for 153,679,656 is 68149872.
Thus, GCF of Fractions is 5/68149872.Finally, GCF of Fractions for 65/153, 760/679, 100/656 is 5/68149872.