Use our free GCF of Fractions Calculator tool to compute the GCF of 890/107, 589/214 i.e 1/214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/107, 589/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/107,589/214
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 890/107,589/214, numerators are 890,589
Denominators are 107,214
The GCF of 890,589 is 1 .
LCM of 107,214 is 214.
The greatest common factor of 890/107,589/214 = [GCF of 890,589]/[LCM of 107,214]= 1/214
Therefore, the GCF of 890/107,589/214 is 1/214.
To find the highest common factor of 890,589, 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 589 are 1, 19, 31, 589
The HCF of 890,589 is 1.
Lets's calculate GCF of 890,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 890,589 . The biggest common factor number is the GCF number.
So the greatest common factor 890,589 is 1.
Lets's calculate LCM of 107,214
107 | 107, 214 |
1, 2 |
∴ So the LCM of the given numbers is 107 x 1 x 2 = 214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214
Therefore, the GCF of Fractions 890/107,589/214 is 1/214
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 107,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,214) = 107
common factors(in case of two or more numbers have common factors) = 1
GCF(107,214) x common factors =107 x 1 = 107
LCM(107,214) = ( 107 × 214 ) / 107
LCM(107,214) = 22898 / 107
LCM(107,214) = 214
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,589?
The HCF of 890,589 is 1
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 890/107, 589/214?
Answer: GCF of Numerators as per given numbers 890/107, 589/214 is
GCF of Numerators i.e. for 890,589 is 1
LCM of denominators i.e. for 107,214 is 214.
Thus, GCF of Fractions is 1/214.Finally, GCF of Fractions for 890/107, 589/214 is 1/214.