Use our free GCF of Fractions Calculator tool to compute the GCF of 8940/890, 5143/9106 i.e 1/4052170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8940/890, 5143/9106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8940/890,5143/9106
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 8940/890,5143/9106, numerators are 8940,5143
Denominators are 890,9106
The GCF of 8940,5143 is 1 .
LCM of 890,9106 is 4052170.
The greatest common factor of 8940/890,5143/9106 = [GCF of 8940,5143]/[LCM of 890,9106]= 1/4052170
Therefore, the GCF of 8940/890,5143/9106 is 1/4052170.
To find the highest common factor of 8940,5143, we have to find the factors of both numbers and list the highest common factor.
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The factors of 5143 are 1, 37, 139, 5143
The HCF of 8940,5143 is 1.
Lets's calculate GCF of 8940,5143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Now, list down the factors of 5143
:1,37,139,5143
Greatest Common Factor
We found the factors 8940,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,5143 is 1.
Lets's calculate LCM of 890,9106
2 | 890, 9106 |
445, 4553 |
∴ So the LCM of the given numbers is 2 x 445 x 4553 = 4052170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4052170
Therefore, the GCF of Fractions 8940/890,5143/9106 is 1/4052170
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 890,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,9106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,9106) x common factors =2 x 1 = 2
LCM(890,9106) = ( 890 × 9106 ) / 2
LCM(890,9106) = 8104340 / 2
LCM(890,9106) = 4052170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8940,5143?
The HCF of 8940,5143 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 8940/890, 5143/9106?
Answer: GCF of Numerators as per given numbers 8940/890, 5143/9106 is
GCF of Numerators i.e. for 8940,5143 is 1
LCM of denominators i.e. for 890,9106 is 4052170.
Thus, GCF of Fractions is 1/4052170.Finally, GCF of Fractions for 8940/890, 5143/9106 is 1/4052170.