Use our free GCF of Fractions Calculator tool to compute the GCF of 939/62, 647/463 i.e 1/28706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/62, 647/463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/62,647/463
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 939/62,647/463, numerators are 939,647
Denominators are 62,463
The GCF of 939,647 is 1 .
LCM of 62,463 is 28706.
The greatest common factor of 939/62,647/463 = [GCF of 939,647]/[LCM of 62,463]= 1/28706
Therefore, the GCF of 939/62,647/463 is 1/28706.
To find the highest common factor of 939,647, we have to find the factors of both numbers and list the highest common factor.
The factors of 939 are 1, 3, 313, 939
The factors of 647 are 1, 647
The HCF of 939,647 is 1.
Lets's calculate GCF of 939,647
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 647
:1,647
Greatest Common Factor
We found the factors 939,647 . The biggest common factor number is the GCF number.
So the greatest common factor 939,647 is 1.
Lets's calculate LCM of 62,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 28706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28706
Therefore, the GCF of Fractions 939/62,647/463 is 1/28706
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 62,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,463) x common factors =1 x 1 = 1
LCM(62,463) = ( 62 × 463 ) / 1
LCM(62,463) = 28706 / 1
LCM(62,463) = 28706
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,647?
The HCF of 939,647 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 939/62, 647/463?
Answer: GCF of Numerators as per given numbers 939/62, 647/463 is
GCF of Numerators i.e. for 939,647 is 1
LCM of denominators i.e. for 62,463 is 28706.
Thus, GCF of Fractions is 1/28706.Finally, GCF of Fractions for 939/62, 647/463 is 1/28706.