Use our free GCF of Fractions Calculator tool to compute the GCF of 36/49, 390/97, 394/300 i.e 2/1425900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/49, 390/97, 394/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/49,390/97,394/300
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 36/49,390/97,394/300, numerators are 36,390,394
Denominators are 49,97,300
The GCF of 36,390,394 is 2 .
LCM of 49,97,300 is 1425900.
The greatest common factor of 36/49,390/97,394/300 = [GCF of 36,390,394]/[LCM of 49,97,300]= 2/1425900
Therefore, the GCF of 36/49,390/97,394/300 is 2/1425900.
To find the highest common factor of 36,390,394, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The factors of 394 are 1, 2, 197, 394
The HCF of 36,390,394 is 2.
Lets's calculate GCF of 36,390,394
2 | 36, 390, 394 |
18, 195, 197 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Now, list down the factors of 394
:1,2,197,394
Greatest Common Factor
We found the factors 36,390,394 . The biggest common factor number is the GCF number.
So the greatest common factor 36,390,394 is 2.
Lets's calculate LCM of 49,97,300
Given numbers has no common factors except 1. So, there LCM is their product i.e 1425900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1425900
Therefore, the GCF of Fractions 36/49,390/97,394/300 is 2/1425900
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 49,97,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,97,300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,97,300) x common factors =1 x 1 = 1
LCM(49,97,300) = ( 49 × 97 × 300 ) / 1
LCM(49,97,300) = 1425900 / 1
LCM(49,97,300) = 1425900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,390,394?
The HCF of 36,390,394 is 2
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 36/49, 390/97, 394/300?
Answer: GCF of Numerators as per given numbers 36/49, 390/97, 394/300 is
GCF of Numerators i.e. for 36,390,394 is 2
LCM of denominators i.e. for 49,97,300 is 1425900.
Thus, GCF of Fractions is 2/1425900.Finally, GCF of Fractions for 36/49, 390/97, 394/300 is 2/1425900.