Use our free GCF of Fractions Calculator tool to compute the GCF of 142/123, 493/671 i.e 1/82533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/123, 493/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 142/123,493/671
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 142/123,493/671, numerators are 142,493
Denominators are 123,671
The GCF of 142,493 is 1 .
LCM of 123,671 is 82533.
The greatest common factor of 142/123,493/671 = [GCF of 142,493]/[LCM of 123,671]= 1/82533
Therefore, the GCF of 142/123,493/671 is 1/82533.
To find the highest common factor of 142,493, we have to find the factors of both numbers and list the highest common factor.
The factors of 142 are 1, 2, 71, 142
The factors of 493 are 1, 17, 29, 493
The HCF of 142,493 is 1.
Lets's calculate GCF of 142,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 142
:1,2,71,142
Now, list down the factors of 493
:1,17,29,493
Greatest Common Factor
We found the factors 142,493 . The biggest common factor number is the GCF number.
So the greatest common factor 142,493 is 1.
Lets's calculate LCM of 123,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 82533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82533
Therefore, the GCF of Fractions 142/123,493/671 is 1/82533
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 123,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,671) x common factors =1 x 1 = 1
LCM(123,671) = ( 123 × 671 ) / 1
LCM(123,671) = 82533 / 1
LCM(123,671) = 82533
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 142,493?
The HCF of 142,493 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 142/123, 493/671?
Answer: GCF of Numerators as per given numbers 142/123, 493/671 is
GCF of Numerators i.e. for 142,493 is 1
LCM of denominators i.e. for 123,671 is 82533.
Thus, GCF of Fractions is 1/82533.Finally, GCF of Fractions for 142/123, 493/671 is 1/82533.