Use our free GCF of Fractions Calculator tool to compute the GCF of 14/585, 189/319, 702/959 i.e 1/178963785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/585, 189/319, 702/959.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/585,189/319,702/959
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 14/585,189/319,702/959, numerators are 14,189,702
Denominators are 585,319,959
The GCF of 14,189,702 is 1 .
LCM of 585,319,959 is 178963785.
The greatest common factor of 14/585,189/319,702/959 = [GCF of 14,189,702]/[LCM of 585,319,959]= 1/178963785
Therefore, the GCF of 14/585,189/319,702/959 is 1/178963785.
To find the highest common factor of 14,189,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 14,189,702 is 1.
Lets's calculate GCF of 14,189,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 14,189,702 . The biggest common factor number is the GCF number.
So the greatest common factor 14,189,702 is 1.
Lets's calculate LCM of 585,319,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 178963785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178963785
Therefore, the GCF of Fractions 14/585,189/319,702/959 is 1/178963785
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 585,319,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,319,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,319,959) x common factors =1 x 1 = 1
LCM(585,319,959) = ( 585 × 319 × 959 ) / 1
LCM(585,319,959) = 178963785 / 1
LCM(585,319,959) = 178963785
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,189,702?
The HCF of 14,189,702 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 14/585, 189/319, 702/959?
Answer: GCF of Numerators as per given numbers 14/585, 189/319, 702/959 is
GCF of Numerators i.e. for 14,189,702 is 1
LCM of denominators i.e. for 585,319,959 is 178963785.
Thus, GCF of Fractions is 1/178963785.Finally, GCF of Fractions for 14/585, 189/319, 702/959 is 1/178963785.