Use our free GCF of Fractions Calculator tool to compute the GCF of 939/453, 636/914 i.e 3/414042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/453, 636/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/453,636/914
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 939/453,636/914, numerators are 939,636
Denominators are 453,914
The GCF of 939,636 is 3 .
LCM of 453,914 is 414042.
The greatest common factor of 939/453,636/914 = [GCF of 939,636]/[LCM of 453,914]= 3/414042
Therefore, the GCF of 939/453,636/914 is 3/414042.
To find the highest common factor of 939,636, 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 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 939,636 is 3.
Lets's calculate GCF of 939,636
3 | 939, 636 |
313, 212 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 939,636 . The biggest common factor number is the GCF number.
So the greatest common factor 939,636 is 3.
Lets's calculate LCM of 453,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 414042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/414042
Therefore, the GCF of Fractions 939/453,636/914 is 3/414042
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 453,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,914) x common factors =1 x 1 = 1
LCM(453,914) = ( 453 × 914 ) / 1
LCM(453,914) = 414042 / 1
LCM(453,914) = 414042
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,636?
The HCF of 939,636 is 3
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 939/453, 636/914?
Answer: GCF of Numerators as per given numbers 939/453, 636/914 is
GCF of Numerators i.e. for 939,636 is 3
LCM of denominators i.e. for 453,914 is 414042.
Thus, GCF of Fractions is 3/414042.Finally, GCF of Fractions for 939/453, 636/914 is 3/414042.