Use our free GCF of Fractions Calculator tool to compute the GCF of 845/462, 605/962 i.e 5/222222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/462, 605/962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/462,605/962
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 845/462,605/962, numerators are 845,605
Denominators are 462,962
The GCF of 845,605 is 5 .
LCM of 462,962 is 222222.
The greatest common factor of 845/462,605/962 = [GCF of 845,605]/[LCM of 462,962]= 5/222222
Therefore, the GCF of 845/462,605/962 is 5/222222.
To find the highest common factor of 845,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 845,605 is 5.
Lets's calculate GCF of 845,605
5 | 845, 605 |
169, 121 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 845,605 . The biggest common factor number is the GCF number.
So the greatest common factor 845,605 is 5.
Lets's calculate LCM of 462,962
2 | 462, 962 |
231, 481 |
∴ So the LCM of the given numbers is 2 x 231 x 481 = 222222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/222222
Therefore, the GCF of Fractions 845/462,605/962 is 5/222222
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 462,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,962) x common factors =2 x 1 = 2
LCM(462,962) = ( 462 × 962 ) / 2
LCM(462,962) = 444444 / 2
LCM(462,962) = 222222
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 845,605?
The HCF of 845,605 is 5
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 845/462, 605/962?
Answer: GCF of Numerators as per given numbers 845/462, 605/962 is
GCF of Numerators i.e. for 845,605 is 5
LCM of denominators i.e. for 462,962 is 222222.
Thus, GCF of Fractions is 5/222222.Finally, GCF of Fractions for 845/462, 605/962 is 5/222222.