Use our free GCF of Fractions Calculator tool to compute the GCF of 896/532, 462/813 i.e 14/432516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/532, 462/813.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/532,462/813
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 896/532,462/813, numerators are 896,462
Denominators are 532,813
The GCF of 896,462 is 14 .
LCM of 532,813 is 432516.
The greatest common factor of 896/532,462/813 = [GCF of 896,462]/[LCM of 532,813]= 14/432516
Therefore, the GCF of 896/532,462/813 is 14/432516.
To find the highest common factor of 896,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 896,462 is 14.
Lets's calculate GCF of 896,462
2 | 896, 462 |
7 | 448, 231 |
64, 33 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 896,462 . The biggest common factor number is the GCF number.
So the greatest common factor 896,462 is 14.
Lets's calculate LCM of 532,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 432516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/432516
Therefore, the GCF of Fractions 896/532,462/813 is 14/432516
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 532,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,813) x common factors =1 x 1 = 1
LCM(532,813) = ( 532 × 813 ) / 1
LCM(532,813) = 432516 / 1
LCM(532,813) = 432516
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,462?
The HCF of 896,462 is 14
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 896/532, 462/813?
Answer: GCF of Numerators as per given numbers 896/532, 462/813 is
GCF of Numerators i.e. for 896,462 is 14
LCM of denominators i.e. for 532,813 is 432516.
Thus, GCF of Fractions is 14/432516.Finally, GCF of Fractions for 896/532, 462/813 is 14/432516.