Use our free GCF of Fractions Calculator tool to compute the GCF of 65/67, 961/65, 132/362 i.e 1/1576510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/67, 961/65, 132/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/67,961/65,132/362
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 65/67,961/65,132/362, numerators are 65,961,132
Denominators are 67,65,362
The GCF of 65,961,132 is 1 .
LCM of 67,65,362 is 1576510.
The greatest common factor of 65/67,961/65,132/362 = [GCF of 65,961,132]/[LCM of 67,65,362]= 1/1576510
Therefore, the GCF of 65/67,961/65,132/362 is 1/1576510.
To find the highest common factor of 65,961,132, 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 961 are 1, 31, 961
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 65,961,132 is 1.
Lets's calculate GCF of 65,961,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 65,961,132 . The biggest common factor number is the GCF number.
So the greatest common factor 65,961,132 is 1.
Lets's calculate LCM of 67,65,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 1576510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1576510
Therefore, the GCF of Fractions 65/67,961/65,132/362 is 1/1576510
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 67,65,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,65,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,65,362) x common factors =1 x 1 = 1
LCM(67,65,362) = ( 67 × 65 × 362 ) / 1
LCM(67,65,362) = 1576510 / 1
LCM(67,65,362) = 1576510
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,961,132?
The HCF of 65,961,132 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 65/67, 961/65, 132/362?
Answer: GCF of Numerators as per given numbers 65/67, 961/65, 132/362 is
GCF of Numerators i.e. for 65,961,132 is 1
LCM of denominators i.e. for 67,65,362 is 1576510.
Thus, GCF of Fractions is 1/1576510.Finally, GCF of Fractions for 65/67, 961/65, 132/362 is 1/1576510.