Use our free GCF of Fractions Calculator tool to compute the GCF of 889/715, 885/458 i.e 1/327470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/715, 885/458.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/715,885/458
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 889/715,885/458, numerators are 889,885
Denominators are 715,458
The GCF of 889,885 is 1 .
LCM of 715,458 is 327470.
The greatest common factor of 889/715,885/458 = [GCF of 889,885]/[LCM of 715,458]= 1/327470
Therefore, the GCF of 889/715,885/458 is 1/327470.
To find the highest common factor of 889,885, we have to find the factors of both numbers and list the highest common factor.
The factors of 889 are 1, 7, 127, 889
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The HCF of 889,885 is 1.
Lets's calculate GCF of 889,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 889,885 . The biggest common factor number is the GCF number.
So the greatest common factor 889,885 is 1.
Lets's calculate LCM of 715,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 327470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327470
Therefore, the GCF of Fractions 889/715,885/458 is 1/327470
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 715,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,458) x common factors =1 x 1 = 1
LCM(715,458) = ( 715 × 458 ) / 1
LCM(715,458) = 327470 / 1
LCM(715,458) = 327470
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 889,885?
The HCF of 889,885 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 889/715, 885/458?
Answer: GCF of Numerators as per given numbers 889/715, 885/458 is
GCF of Numerators i.e. for 889,885 is 1
LCM of denominators i.e. for 715,458 is 327470.
Thus, GCF of Fractions is 1/327470.Finally, GCF of Fractions for 889/715, 885/458 is 1/327470.