Use our free GCF of Fractions Calculator tool to compute the GCF of 4238/844, 8667/1255 i.e 1/1059220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4238/844, 8667/1255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4238/844,8667/1255
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 4238/844,8667/1255, numerators are 4238,8667
Denominators are 844,1255
The GCF of 4238,8667 is 1 .
LCM of 844,1255 is 1059220.
The greatest common factor of 4238/844,8667/1255 = [GCF of 4238,8667]/[LCM of 844,1255]= 1/1059220
Therefore, the GCF of 4238/844,8667/1255 is 1/1059220.
To find the highest common factor of 4238,8667, we have to find the factors of both numbers and list the highest common factor.
The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238
The factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667
The HCF of 4238,8667 is 1.
Lets's calculate GCF of 4238,8667
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4238
:1,2,13,26,163,326,2119,4238
Now, list down the factors of 8667
:1,3,9,27,81,107,321,963,2889,8667
Greatest Common Factor
We found the factors 4238,8667 . The biggest common factor number is the GCF number.
So the greatest common factor 4238,8667 is 1.
Lets's calculate LCM of 844,1255
Given numbers has no common factors except 1. So, there LCM is their product i.e 1059220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1059220
Therefore, the GCF of Fractions 4238/844,8667/1255 is 1/1059220
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 844,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,1255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,1255) x common factors =1 x 1 = 1
LCM(844,1255) = ( 844 × 1255 ) / 1
LCM(844,1255) = 1059220 / 1
LCM(844,1255) = 1059220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4238,8667?
The HCF of 4238,8667 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 4238/844, 8667/1255?
Answer: GCF of Numerators as per given numbers 4238/844, 8667/1255 is
GCF of Numerators i.e. for 4238,8667 is 1
LCM of denominators i.e. for 844,1255 is 1059220.
Thus, GCF of Fractions is 1/1059220.Finally, GCF of Fractions for 4238/844, 8667/1255 is 1/1059220.