Use our free GCF of Fractions Calculator tool to compute the GCF of 870/881, 189/900 i.e 3/792900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/881, 189/900.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/881,189/900
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 870/881,189/900, numerators are 870,189
Denominators are 881,900
The GCF of 870,189 is 3 .
LCM of 881,900 is 792900.
The greatest common factor of 870/881,189/900 = [GCF of 870,189]/[LCM of 881,900]= 3/792900
Therefore, the GCF of 870/881,189/900 is 3/792900.
To find the highest common factor of 870,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 870,189 is 3.
Lets's calculate GCF of 870,189
3 | 870, 189 |
290, 63 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 870,189 . The biggest common factor number is the GCF number.
So the greatest common factor 870,189 is 3.
Lets's calculate LCM of 881,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 792900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/792900
Therefore, the GCF of Fractions 870/881,189/900 is 3/792900
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 881,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,900) x common factors =1 x 1 = 1
LCM(881,900) = ( 881 × 900 ) / 1
LCM(881,900) = 792900 / 1
LCM(881,900) = 792900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 870,189?
The HCF of 870,189 is 3
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 870/881, 189/900?
Answer: GCF of Numerators as per given numbers 870/881, 189/900 is
GCF of Numerators i.e. for 870,189 is 3
LCM of denominators i.e. for 881,900 is 792900.
Thus, GCF of Fractions is 3/792900.Finally, GCF of Fractions for 870/881, 189/900 is 3/792900.