Use our free GCF of Fractions Calculator tool to compute the GCF of 890/675, 914/553 i.e 2/373275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/675, 914/553.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/675,914/553
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 890/675,914/553, numerators are 890,914
Denominators are 675,553
The GCF of 890,914 is 2 .
LCM of 675,553 is 373275.
The greatest common factor of 890/675,914/553 = [GCF of 890,914]/[LCM of 675,553]= 2/373275
Therefore, the GCF of 890/675,914/553 is 2/373275.
To find the highest common factor of 890,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 914 are 1, 2, 457, 914
The HCF of 890,914 is 2.
Lets's calculate GCF of 890,914
2 | 890, 914 |
445, 457 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 890,914 . The biggest common factor number is the GCF number.
So the greatest common factor 890,914 is 2.
Lets's calculate LCM of 675,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 373275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/373275
Therefore, the GCF of Fractions 890/675,914/553 is 2/373275
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 675,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,553) x common factors =1 x 1 = 1
LCM(675,553) = ( 675 × 553 ) / 1
LCM(675,553) = 373275 / 1
LCM(675,553) = 373275
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,914?
The HCF of 890,914 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 890/675, 914/553?
Answer: GCF of Numerators as per given numbers 890/675, 914/553 is
GCF of Numerators i.e. for 890,914 is 2
LCM of denominators i.e. for 675,553 is 373275.
Thus, GCF of Fractions is 2/373275.Finally, GCF of Fractions for 890/675, 914/553 is 2/373275.