Use our free GCF of Fractions Calculator tool to compute the GCF of 67/239, 97/122, 360/159 i.e 1/4636122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/239, 97/122, 360/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/239,97/122,360/159
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 67/239,97/122,360/159, numerators are 67,97,360
Denominators are 239,122,159
The GCF of 67,97,360 is 1 .
LCM of 239,122,159 is 4636122.
The greatest common factor of 67/239,97/122,360/159 = [GCF of 67,97,360]/[LCM of 239,122,159]= 1/4636122
Therefore, the GCF of 67/239,97/122,360/159 is 1/4636122.
To find the highest common factor of 67,97,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 97 are 1, 97
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 67,97,360 is 1.
Lets's calculate GCF of 67,97,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 67
:1,67
Now, list down the factors of 97
:1,97
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 67,97,360 . The biggest common factor number is the GCF number.
So the greatest common factor 67,97,360 is 1.
Lets's calculate LCM of 239,122,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 4636122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4636122
Therefore, the GCF of Fractions 67/239,97/122,360/159 is 1/4636122
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 239,122,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,122,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,122,159) x common factors =1 x 1 = 1
LCM(239,122,159) = ( 239 × 122 × 159 ) / 1
LCM(239,122,159) = 4636122 / 1
LCM(239,122,159) = 4636122
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 67,97,360?
The HCF of 67,97,360 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 67/239, 97/122, 360/159?
Answer: GCF of Numerators as per given numbers 67/239, 97/122, 360/159 is
GCF of Numerators i.e. for 67,97,360 is 1
LCM of denominators i.e. for 239,122,159 is 4636122.
Thus, GCF of Fractions is 1/4636122.Finally, GCF of Fractions for 67/239, 97/122, 360/159 is 1/4636122.