Use our free GCF of Fractions Calculator tool to compute the GCF of 190/650, 607/847 i.e 1/550550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/650, 607/847.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/650,607/847
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 190/650,607/847, numerators are 190,607
Denominators are 650,847
The GCF of 190,607 is 1 .
LCM of 650,847 is 550550.
The greatest common factor of 190/650,607/847 = [GCF of 190,607]/[LCM of 650,847]= 1/550550
Therefore, the GCF of 190/650,607/847 is 1/550550.
To find the highest common factor of 190,607, 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 607 are 1, 607
The HCF of 190,607 is 1.
Lets's calculate GCF of 190,607
∴ 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 607
:1,607
Greatest Common Factor
We found the factors 190,607 . The biggest common factor number is the GCF number.
So the greatest common factor 190,607 is 1.
Lets's calculate LCM of 650,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 550550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550550
Therefore, the GCF of Fractions 190/650,607/847 is 1/550550
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 650,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,847) x common factors =1 x 1 = 1
LCM(650,847) = ( 650 × 847 ) / 1
LCM(650,847) = 550550 / 1
LCM(650,847) = 550550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 190,607?
The HCF of 190,607 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 190/650, 607/847?
Answer: GCF of Numerators as per given numbers 190/650, 607/847 is
GCF of Numerators i.e. for 190,607 is 1
LCM of denominators i.e. for 650,847 is 550550.
Thus, GCF of Fractions is 1/550550.Finally, GCF of Fractions for 190/650, 607/847 is 1/550550.