Use our free GCF of Fractions Calculator tool to compute the GCF of 868/889, 170/923 i.e 2/820547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/889, 170/923.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/889,170/923
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 868/889,170/923, numerators are 868,170
Denominators are 889,923
The GCF of 868,170 is 2 .
LCM of 889,923 is 820547.
The greatest common factor of 868/889,170/923 = [GCF of 868,170]/[LCM of 889,923]= 2/820547
Therefore, the GCF of 868/889,170/923 is 2/820547.
To find the highest common factor of 868,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 868,170 is 2.
Lets's calculate GCF of 868,170
2 | 868, 170 |
434, 85 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 868,170 . The biggest common factor number is the GCF number.
So the greatest common factor 868,170 is 2.
Lets's calculate LCM of 889,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 820547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/820547
Therefore, the GCF of Fractions 868/889,170/923 is 2/820547
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 889,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,923) x common factors =1 x 1 = 1
LCM(889,923) = ( 889 × 923 ) / 1
LCM(889,923) = 820547 / 1
LCM(889,923) = 820547
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 868,170?
The HCF of 868,170 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 868/889, 170/923?
Answer: GCF of Numerators as per given numbers 868/889, 170/923 is
GCF of Numerators i.e. for 868,170 is 2
LCM of denominators i.e. for 889,923 is 820547.
Thus, GCF of Fractions is 2/820547.Finally, GCF of Fractions for 868/889, 170/923 is 2/820547.