Use our free GCF of Fractions Calculator tool to compute the GCF of 7888/166, 5893/4221 i.e 1/700686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7888/166, 5893/4221.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7888/166,5893/4221
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 7888/166,5893/4221, numerators are 7888,5893
Denominators are 166,4221
The GCF of 7888,5893 is 1 .
LCM of 166,4221 is 700686.
The greatest common factor of 7888/166,5893/4221 = [GCF of 7888,5893]/[LCM of 166,4221]= 1/700686
Therefore, the GCF of 7888/166,5893/4221 is 1/700686.
To find the highest common factor of 7888,5893, we have to find the factors of both numbers and list the highest common factor.
The factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888
The factors of 5893 are 1, 71, 83, 5893
The HCF of 7888,5893 is 1.
Lets's calculate GCF of 7888,5893
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7888
:1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Now, list down the factors of 5893
:1,71,83,5893
Greatest Common Factor
We found the factors 7888,5893 . The biggest common factor number is the GCF number.
So the greatest common factor 7888,5893 is 1.
Lets's calculate LCM of 166,4221
Given numbers has no common factors except 1. So, there LCM is their product i.e 700686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700686
Therefore, the GCF of Fractions 7888/166,5893/4221 is 1/700686
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 166,4221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,4221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,4221) x common factors =1 x 1 = 1
LCM(166,4221) = ( 166 × 4221 ) / 1
LCM(166,4221) = 700686 / 1
LCM(166,4221) = 700686
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7888,5893?
The HCF of 7888,5893 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 7888/166, 5893/4221?
Answer: GCF of Numerators as per given numbers 7888/166, 5893/4221 is
GCF of Numerators i.e. for 7888,5893 is 1
LCM of denominators i.e. for 166,4221 is 700686.
Thus, GCF of Fractions is 1/700686.Finally, GCF of Fractions for 7888/166, 5893/4221 is 1/700686.