Use our free GCF of Fractions Calculator tool to compute the GCF of 140/321, 159/164 i.e 1/52644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 140/321, 159/164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/321,159/164
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 140/321,159/164, numerators are 140,159
Denominators are 321,164
The GCF of 140,159 is 1 .
LCM of 321,164 is 52644.
The greatest common factor of 140/321,159/164 = [GCF of 140,159]/[LCM of 321,164]= 1/52644
Therefore, the GCF of 140/321,159/164 is 1/52644.
To find the highest common factor of 140,159, we have to find the factors of both numbers and list the highest common factor.
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 159 are 1, 3, 53, 159
The HCF of 140,159 is 1.
Lets's calculate GCF of 140,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 140,159 . The biggest common factor number is the GCF number.
So the greatest common factor 140,159 is 1.
Lets's calculate LCM of 321,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 52644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52644
Therefore, the GCF of Fractions 140/321,159/164 is 1/52644
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 321,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,164) x common factors =1 x 1 = 1
LCM(321,164) = ( 321 × 164 ) / 1
LCM(321,164) = 52644 / 1
LCM(321,164) = 52644
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 140,159?
The HCF of 140,159 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 140/321, 159/164?
Answer: GCF of Numerators as per given numbers 140/321, 159/164 is
GCF of Numerators i.e. for 140,159 is 1
LCM of denominators i.e. for 321,164 is 52644.
Thus, GCF of Fractions is 1/52644.Finally, GCF of Fractions for 140/321, 159/164 is 1/52644.