Use our free GCF of Fractions Calculator tool to compute the GCF of 8915/523, 6118/3330 i.e 1/1741590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8915/523, 6118/3330.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8915/523,6118/3330
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 8915/523,6118/3330, numerators are 8915,6118
Denominators are 523,3330
The GCF of 8915,6118 is 1 .
LCM of 523,3330 is 1741590.
The greatest common factor of 8915/523,6118/3330 = [GCF of 8915,6118]/[LCM of 523,3330]= 1/1741590
Therefore, the GCF of 8915/523,6118/3330 is 1/1741590.
To find the highest common factor of 8915,6118, we have to find the factors of both numbers and list the highest common factor.
The factors of 8915 are 1, 5, 1783, 8915
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The HCF of 8915,6118 is 1.
Lets's calculate GCF of 8915,6118
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8915
:1,5,1783,8915
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Greatest Common Factor
We found the factors 8915,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 8915,6118 is 1.
Lets's calculate LCM of 523,3330
Given numbers has no common factors except 1. So, there LCM is their product i.e 1741590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1741590
Therefore, the GCF of Fractions 8915/523,6118/3330 is 1/1741590
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 523,3330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,3330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,3330) x common factors =1 x 1 = 1
LCM(523,3330) = ( 523 × 3330 ) / 1
LCM(523,3330) = 1741590 / 1
LCM(523,3330) = 1741590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8915,6118?
The HCF of 8915,6118 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 8915/523, 6118/3330?
Answer: GCF of Numerators as per given numbers 8915/523, 6118/3330 is
GCF of Numerators i.e. for 8915,6118 is 1
LCM of denominators i.e. for 523,3330 is 1741590.
Thus, GCF of Fractions is 1/1741590.Finally, GCF of Fractions for 8915/523, 6118/3330 is 1/1741590.