Use our free GCF of Fractions Calculator tool to compute the GCF of 9208/247, 1167/8590 i.e 1/2121730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9208/247, 1167/8590.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9208/247,1167/8590
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 9208/247,1167/8590, numerators are 9208,1167
Denominators are 247,8590
The GCF of 9208,1167 is 1 .
LCM of 247,8590 is 2121730.
The greatest common factor of 9208/247,1167/8590 = [GCF of 9208,1167]/[LCM of 247,8590]= 1/2121730
Therefore, the GCF of 9208/247,1167/8590 is 1/2121730.
To find the highest common factor of 9208,1167, we have to find the factors of both numbers and list the highest common factor.
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The factors of 1167 are 1, 3, 389, 1167
The HCF of 9208,1167 is 1.
Lets's calculate GCF of 9208,1167
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Now, list down the factors of 1167
:1,3,389,1167
Greatest Common Factor
We found the factors 9208,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 9208,1167 is 1.
Lets's calculate LCM of 247,8590
Given numbers has no common factors except 1. So, there LCM is their product i.e 2121730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2121730
Therefore, the GCF of Fractions 9208/247,1167/8590 is 1/2121730
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 247,8590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,8590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,8590) x common factors =1 x 1 = 1
LCM(247,8590) = ( 247 × 8590 ) / 1
LCM(247,8590) = 2121730 / 1
LCM(247,8590) = 2121730
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9208,1167?
The HCF of 9208,1167 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 9208/247, 1167/8590?
Answer: GCF of Numerators as per given numbers 9208/247, 1167/8590 is
GCF of Numerators i.e. for 9208,1167 is 1
LCM of denominators i.e. for 247,8590 is 2121730.
Thus, GCF of Fractions is 1/2121730.Finally, GCF of Fractions for 9208/247, 1167/8590 is 1/2121730.