Use our free GCF of Fractions Calculator tool to compute the GCF of 65/38, 491/31, 967/436 i.e 1/256804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/38, 491/31, 967/436.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/38,491/31,967/436
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 65/38,491/31,967/436, numerators are 65,491,967
Denominators are 38,31,436
The GCF of 65,491,967 is 1 .
LCM of 38,31,436 is 256804.
The greatest common factor of 65/38,491/31,967/436 = [GCF of 65,491,967]/[LCM of 38,31,436]= 1/256804
Therefore, the GCF of 65/38,491/31,967/436 is 1/256804.
To find the highest common factor of 65,491,967, 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 491 are 1, 491
The factors of 967 are 1, 967
The HCF of 65,491,967 is 1.
Lets's calculate GCF of 65,491,967
∴ 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 491
:1,491
Now, list down the factors of 967
:1,967
Greatest Common Factor
We found the factors 65,491,967 . The biggest common factor number is the GCF number.
So the greatest common factor 65,491,967 is 1.
Lets's calculate LCM of 38,31,436
2 | 38, 31, 436 |
19, 31, 218 |
∴ So the LCM of the given numbers is 2 x 19 x 31 x 218 = 256804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256804
Therefore, the GCF of Fractions 65/38,491/31,967/436 is 1/256804
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 38,31,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,31,436) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,31,436) x common factors =1 x 2 = 2
LCM(38,31,436) = ( 38 × 31 × 436 ) / 2
LCM(38,31,436) = 513608 / 2
LCM(38,31,436) = 256804
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,491,967?
The HCF of 65,491,967 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 65/38, 491/31, 967/436?
Answer: GCF of Numerators as per given numbers 65/38, 491/31, 967/436 is
GCF of Numerators i.e. for 65,491,967 is 1
LCM of denominators i.e. for 38,31,436 is 256804.
Thus, GCF of Fractions is 1/256804.Finally, GCF of Fractions for 65/38, 491/31, 967/436 is 1/256804.