Use our free GCF of Fractions Calculator tool to compute the GCF of 832/197, 488/721 i.e 8/142037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/197, 488/721.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/197,488/721
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 832/197,488/721, numerators are 832,488
Denominators are 197,721
The GCF of 832,488 is 8 .
LCM of 197,721 is 142037.
The greatest common factor of 832/197,488/721 = [GCF of 832,488]/[LCM of 197,721]= 8/142037
Therefore, the GCF of 832/197,488/721 is 8/142037.
To find the highest common factor of 832,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 832,488 is 8.
Lets's calculate GCF of 832,488
2 | 832, 488 |
2 | 416, 244 |
2 | 208, 122 |
104, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 832,488 . The biggest common factor number is the GCF number.
So the greatest common factor 832,488 is 8.
Lets's calculate LCM of 197,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 142037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/142037
Therefore, the GCF of Fractions 832/197,488/721 is 8/142037
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 197,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,721) x common factors =1 x 1 = 1
LCM(197,721) = ( 197 × 721 ) / 1
LCM(197,721) = 142037 / 1
LCM(197,721) = 142037
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 832,488?
The HCF of 832,488 is 8
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 832/197, 488/721?
Answer: GCF of Numerators as per given numbers 832/197, 488/721 is
GCF of Numerators i.e. for 832,488 is 8
LCM of denominators i.e. for 197,721 is 142037.
Thus, GCF of Fractions is 8/142037.Finally, GCF of Fractions for 832/197, 488/721 is 8/142037.