Use our free GCF of Fractions Calculator tool to compute the GCF of 8510/231, 8003/6092 i.e 1/1407252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8510/231, 8003/6092.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8510/231,8003/6092
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 8510/231,8003/6092, numerators are 8510,8003
Denominators are 231,6092
The GCF of 8510,8003 is 1 .
LCM of 231,6092 is 1407252.
The greatest common factor of 8510/231,8003/6092 = [GCF of 8510,8003]/[LCM of 231,6092]= 1/1407252
Therefore, the GCF of 8510/231,8003/6092 is 1/1407252.
To find the highest common factor of 8510,8003, we have to find the factors of both numbers and list the highest common factor.
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The factors of 8003 are 1, 53, 151, 8003
The HCF of 8510,8003 is 1.
Lets's calculate GCF of 8510,8003
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Now, list down the factors of 8003
:1,53,151,8003
Greatest Common Factor
We found the factors 8510,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,8003 is 1.
Lets's calculate LCM of 231,6092
Given numbers has no common factors except 1. So, there LCM is their product i.e 1407252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1407252
Therefore, the GCF of Fractions 8510/231,8003/6092 is 1/1407252
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 231,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,6092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,6092) x common factors =1 x 1 = 1
LCM(231,6092) = ( 231 × 6092 ) / 1
LCM(231,6092) = 1407252 / 1
LCM(231,6092) = 1407252
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8510,8003?
The HCF of 8510,8003 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 8510/231, 8003/6092?
Answer: GCF of Numerators as per given numbers 8510/231, 8003/6092 is
GCF of Numerators i.e. for 8510,8003 is 1
LCM of denominators i.e. for 231,6092 is 1407252.
Thus, GCF of Fractions is 1/1407252.Finally, GCF of Fractions for 8510/231, 8003/6092 is 1/1407252.