Use our free GCF of Fractions Calculator tool to compute the GCF of 898/872, 470/197 i.e 2/171784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/872, 470/197.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/872,470/197
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 898/872,470/197, numerators are 898,470
Denominators are 872,197
The GCF of 898,470 is 2 .
LCM of 872,197 is 171784.
The greatest common factor of 898/872,470/197 = [GCF of 898,470]/[LCM of 872,197]= 2/171784
Therefore, the GCF of 898/872,470/197 is 2/171784.
To find the highest common factor of 898,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 898,470 is 2.
Lets's calculate GCF of 898,470
2 | 898, 470 |
449, 235 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 898,470 . The biggest common factor number is the GCF number.
So the greatest common factor 898,470 is 2.
Lets's calculate LCM of 872,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 171784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171784
Therefore, the GCF of Fractions 898/872,470/197 is 2/171784
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 872,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,197) x common factors =1 x 1 = 1
LCM(872,197) = ( 872 × 197 ) / 1
LCM(872,197) = 171784 / 1
LCM(872,197) = 171784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 898,470?
The HCF of 898,470 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 898/872, 470/197?
Answer: GCF of Numerators as per given numbers 898/872, 470/197 is
GCF of Numerators i.e. for 898,470 is 2
LCM of denominators i.e. for 872,197 is 171784.
Thus, GCF of Fractions is 2/171784.Finally, GCF of Fractions for 898/872, 470/197 is 2/171784.