Use our free GCF of Fractions Calculator tool to compute the GCF of 8636/401, 5590/5481 i.e 2/2197881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8636/401, 5590/5481.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8636/401,5590/5481
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 8636/401,5590/5481, numerators are 8636,5590
Denominators are 401,5481
The GCF of 8636,5590 is 2 .
LCM of 401,5481 is 2197881.
The greatest common factor of 8636/401,5590/5481 = [GCF of 8636,5590]/[LCM of 401,5481]= 2/2197881
Therefore, the GCF of 8636/401,5590/5481 is 2/2197881.
To find the highest common factor of 8636,5590, we have to find the factors of both numbers and list the highest common factor.
The factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The HCF of 8636,5590 is 2.
Lets's calculate GCF of 8636,5590
2 | 8636, 5590 |
4318, 2795 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8636
:1,2,4,17,34,68,127,254,508,2159,4318,8636
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 8636,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 8636,5590 is 2.
Lets's calculate LCM of 401,5481
Given numbers has no common factors except 1. So, there LCM is their product i.e 2197881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2197881
Therefore, the GCF of Fractions 8636/401,5590/5481 is 2/2197881
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 401,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,5481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,5481) x common factors =1 x 1 = 1
LCM(401,5481) = ( 401 × 5481 ) / 1
LCM(401,5481) = 2197881 / 1
LCM(401,5481) = 2197881
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8636,5590?
The HCF of 8636,5590 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 8636/401, 5590/5481?
Answer: GCF of Numerators as per given numbers 8636/401, 5590/5481 is
GCF of Numerators i.e. for 8636,5590 is 2
LCM of denominators i.e. for 401,5481 is 2197881.
Thus, GCF of Fractions is 2/2197881.Finally, GCF of Fractions for 8636/401, 5590/5481 is 2/2197881.