Use our free GCF of Fractions Calculator tool to compute the GCF of 9018/163, 2945/623 i.e 1/101549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9018/163, 2945/623.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9018/163,2945/623
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 9018/163,2945/623, numerators are 9018,2945
Denominators are 163,623
The GCF of 9018,2945 is 1 .
LCM of 163,623 is 101549.
The greatest common factor of 9018/163,2945/623 = [GCF of 9018,2945]/[LCM of 163,623]= 1/101549
Therefore, the GCF of 9018/163,2945/623 is 1/101549.
To find the highest common factor of 9018,2945, we have to find the factors of both numbers and list the highest common factor.
The factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The HCF of 9018,2945 is 1.
Lets's calculate GCF of 9018,2945
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Greatest Common Factor
We found the factors 9018,2945 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,2945 is 1.
Lets's calculate LCM of 163,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 101549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101549
Therefore, the GCF of Fractions 9018/163,2945/623 is 1/101549
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 163,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,623) x common factors =1 x 1 = 1
LCM(163,623) = ( 163 × 623 ) / 1
LCM(163,623) = 101549 / 1
LCM(163,623) = 101549
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9018,2945?
The HCF of 9018,2945 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 9018/163, 2945/623?
Answer: GCF of Numerators as per given numbers 9018/163, 2945/623 is
GCF of Numerators i.e. for 9018,2945 is 1
LCM of denominators i.e. for 163,623 is 101549.
Thus, GCF of Fractions is 1/101549.Finally, GCF of Fractions for 9018/163, 2945/623 is 1/101549.