Use our free GCF of Fractions Calculator tool to compute the GCF of 190/678, 349/431 i.e 1/292218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/678, 349/431.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/678,349/431
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 190/678,349/431, numerators are 190,349
Denominators are 678,431
The GCF of 190,349 is 1 .
LCM of 678,431 is 292218.
The greatest common factor of 190/678,349/431 = [GCF of 190,349]/[LCM of 678,431]= 1/292218
Therefore, the GCF of 190/678,349/431 is 1/292218.
To find the highest common factor of 190,349, 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 349 are 1, 349
The HCF of 190,349 is 1.
Lets's calculate GCF of 190,349
∴ 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 349
:1,349
Greatest Common Factor
We found the factors 190,349 . The biggest common factor number is the GCF number.
So the greatest common factor 190,349 is 1.
Lets's calculate LCM of 678,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 292218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292218
Therefore, the GCF of Fractions 190/678,349/431 is 1/292218
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 678,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,431) x common factors =1 x 1 = 1
LCM(678,431) = ( 678 × 431 ) / 1
LCM(678,431) = 292218 / 1
LCM(678,431) = 292218
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 190,349?
The HCF of 190,349 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 190/678, 349/431?
Answer: GCF of Numerators as per given numbers 190/678, 349/431 is
GCF of Numerators i.e. for 190,349 is 1
LCM of denominators i.e. for 678,431 is 292218.
Thus, GCF of Fractions is 1/292218.Finally, GCF of Fractions for 190/678, 349/431 is 1/292218.