Use our free GCF of Fractions Calculator tool to compute the GCF of 904/662, 642/658 i.e 2/217798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/662, 642/658.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/662,642/658
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 904/662,642/658, numerators are 904,642
Denominators are 662,658
The GCF of 904,642 is 2 .
LCM of 662,658 is 217798.
The greatest common factor of 904/662,642/658 = [GCF of 904,642]/[LCM of 662,658]= 2/217798
Therefore, the GCF of 904/662,642/658 is 2/217798.
To find the highest common factor of 904,642, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 904,642 is 2.
Lets's calculate GCF of 904,642
2 | 904, 642 |
452, 321 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 904,642 . The biggest common factor number is the GCF number.
So the greatest common factor 904,642 is 2.
Lets's calculate LCM of 662,658
2 | 662, 658 |
331, 329 |
∴ So the LCM of the given numbers is 2 x 331 x 329 = 217798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217798
Therefore, the GCF of Fractions 904/662,642/658 is 2/217798
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 662,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,658) x common factors =2 x 1 = 2
LCM(662,658) = ( 662 × 658 ) / 2
LCM(662,658) = 435596 / 2
LCM(662,658) = 217798
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 904,642?
The HCF of 904,642 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 904/662, 642/658?
Answer: GCF of Numerators as per given numbers 904/662, 642/658 is
GCF of Numerators i.e. for 904,642 is 2
LCM of denominators i.e. for 662,658 is 217798.
Thus, GCF of Fractions is 2/217798.Finally, GCF of Fractions for 904/662, 642/658 is 2/217798.