Use our free GCF of Fractions Calculator tool to compute the GCF of 890/213, 801/207 i.e 89/14697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/213, 801/207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/213,801/207
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 890/213,801/207, numerators are 890,801
Denominators are 213,207
The GCF of 890,801 is 89 .
LCM of 213,207 is 14697.
The greatest common factor of 890/213,801/207 = [GCF of 890,801]/[LCM of 213,207]= 89/14697
Therefore, the GCF of 890/213,801/207 is 89/14697.
To find the highest common factor of 890,801, 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 801 are 1, 3, 9, 89, 267, 801
The HCF of 890,801 is 89.
Lets's calculate GCF of 890,801
89 | 890, 801 |
10, 9 |
∴ So the GCF of the given numbers is 89 = 89
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 801
:1,3,9,89,267,801
Greatest Common Factor
We found the factors 890,801 . The biggest common factor number is the GCF number.
So the greatest common factor 890,801 is 89.
Lets's calculate LCM of 213,207
3 | 213, 207 |
71, 69 |
∴ So the LCM of the given numbers is 3 x 71 x 69 = 14697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/14697
Therefore, the GCF of Fractions 890/213,801/207 is 89/14697
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 213,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,207) x common factors =3 x 1 = 3
LCM(213,207) = ( 213 × 207 ) / 3
LCM(213,207) = 44091 / 3
LCM(213,207) = 14697
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,801?
The HCF of 890,801 is 89
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 890/213, 801/207?
Answer: GCF of Numerators as per given numbers 890/213, 801/207 is
GCF of Numerators i.e. for 890,801 is 89
LCM of denominators i.e. for 213,207 is 14697.
Thus, GCF of Fractions is 89/14697.Finally, GCF of Fractions for 890/213, 801/207 is 89/14697.