Use our free GCF of Fractions Calculator tool to compute the GCF of 190/414, 807/934 i.e 1/193338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/414, 807/934.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/414,807/934
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 190/414,807/934, numerators are 190,807
Denominators are 414,934
The GCF of 190,807 is 1 .
LCM of 414,934 is 193338.
The greatest common factor of 190/414,807/934 = [GCF of 190,807]/[LCM of 414,934]= 1/193338
Therefore, the GCF of 190/414,807/934 is 1/193338.
To find the highest common factor of 190,807, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 807 are 1, 3, 269, 807
The HCF of 190,807 is 1.
Lets's calculate GCF of 190,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 807
:1,3,269,807
Greatest Common Factor
We found the factors 190,807 . The biggest common factor number is the GCF number.
So the greatest common factor 190,807 is 1.
Lets's calculate LCM of 414,934
2 | 414, 934 |
207, 467 |
∴ So the LCM of the given numbers is 2 x 207 x 467 = 193338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193338
Therefore, the GCF of Fractions 190/414,807/934 is 1/193338
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 414,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,934) x common factors =2 x 1 = 2
LCM(414,934) = ( 414 × 934 ) / 2
LCM(414,934) = 386676 / 2
LCM(414,934) = 193338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 190,807?
The HCF of 190,807 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 190/414, 807/934?
Answer: GCF of Numerators as per given numbers 190/414, 807/934 is
GCF of Numerators i.e. for 190,807 is 1
LCM of denominators i.e. for 414,934 is 193338.
Thus, GCF of Fractions is 1/193338.Finally, GCF of Fractions for 190/414, 807/934 is 1/193338.