Use our free GCF of Fractions Calculator tool to compute the GCF of 18/79, 609/31, 895/666 i.e 1/1631034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/79, 609/31, 895/666.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/79,609/31,895/666
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 18/79,609/31,895/666, numerators are 18,609,895
Denominators are 79,31,666
The GCF of 18,609,895 is 1 .
LCM of 79,31,666 is 1631034.
The greatest common factor of 18/79,609/31,895/666 = [GCF of 18,609,895]/[LCM of 79,31,666]= 1/1631034
Therefore, the GCF of 18/79,609/31,895/666 is 1/1631034.
To find the highest common factor of 18,609,895, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 895 are 1, 5, 179, 895
The HCF of 18,609,895 is 1.
Lets's calculate GCF of 18,609,895
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 895
:1,5,179,895
Greatest Common Factor
We found the factors 18,609,895 . The biggest common factor number is the GCF number.
So the greatest common factor 18,609,895 is 1.
Lets's calculate LCM of 79,31,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 1631034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1631034
Therefore, the GCF of Fractions 18/79,609/31,895/666 is 1/1631034
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 79,31,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,31,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,31,666) x common factors =1 x 1 = 1
LCM(79,31,666) = ( 79 × 31 × 666 ) / 1
LCM(79,31,666) = 1631034 / 1
LCM(79,31,666) = 1631034
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,609,895?
The HCF of 18,609,895 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 18/79, 609/31, 895/666?
Answer: GCF of Numerators as per given numbers 18/79, 609/31, 895/666 is
GCF of Numerators i.e. for 18,609,895 is 1
LCM of denominators i.e. for 79,31,666 is 1631034.
Thus, GCF of Fractions is 1/1631034.Finally, GCF of Fractions for 18/79, 609/31, 895/666 is 1/1631034.