Use our free GCF of Fractions Calculator tool to compute the GCF of 830/166, 308/491 i.e 2/81506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/166, 308/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/166,308/491
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 830/166,308/491, numerators are 830,308
Denominators are 166,491
The GCF of 830,308 is 2 .
LCM of 166,491 is 81506.
The greatest common factor of 830/166,308/491 = [GCF of 830,308]/[LCM of 166,491]= 2/81506
Therefore, the GCF of 830/166,308/491 is 2/81506.
To find the highest common factor of 830,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 830,308 is 2.
Lets's calculate GCF of 830,308
2 | 830, 308 |
415, 154 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 830,308 . The biggest common factor number is the GCF number.
So the greatest common factor 830,308 is 2.
Lets's calculate LCM of 166,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 81506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81506
Therefore, the GCF of Fractions 830/166,308/491 is 2/81506
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 166,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,491) x common factors =1 x 1 = 1
LCM(166,491) = ( 166 × 491 ) / 1
LCM(166,491) = 81506 / 1
LCM(166,491) = 81506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 830,308?
The HCF of 830,308 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 830/166, 308/491?
Answer: GCF of Numerators as per given numbers 830/166, 308/491 is
GCF of Numerators i.e. for 830,308 is 2
LCM of denominators i.e. for 166,491 is 81506.
Thus, GCF of Fractions is 2/81506.Finally, GCF of Fractions for 830/166, 308/491 is 2/81506.