Use our free GCF of Fractions Calculator tool to compute the GCF of 38/647, 19/8469 i.e 19/5479443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/647, 19/8469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/647,19/8469
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 38/647,19/8469, numerators are 38,19
Denominators are 647,8469
The GCF of 38,19 is 19 .
LCM of 647,8469 is 5479443.
The greatest common factor of 38/647,19/8469 = [GCF of 38,19]/[LCM of 647,8469]= 19/5479443
Therefore, the GCF of 38/647,19/8469 is 19/5479443.
To find the highest common factor of 38,19, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 19 are 1, 19
The HCF of 38,19 is 19.
Lets's calculate GCF of 38,19
19 | 38, 19 |
2, 1 |
∴ So the GCF of the given numbers is 19 = 19
Lets's calculate LCM of 647,8469
Given numbers has no common factors except 1. So, there LCM is their product i.e 5479443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5479443
Therefore, the GCF of Fractions 38/647,19/8469 is 19/5479443
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 647,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,8469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,8469) x common factors =1 x 1 = 1
LCM(647,8469) = ( 647 × 8469 ) / 1
LCM(647,8469) = 5479443 / 1
LCM(647,8469) = 5479443
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,19?
The HCF of 38,19 is 19
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 38/647, 19/8469?
Answer: GCF of Numerators as per given numbers 38/647, 19/8469 is
GCF of Numerators i.e. for 38,19 is 19
LCM of denominators i.e. for 647,8469 is 5479443.
Thus, GCF of Fractions is 19/5479443.Finally, GCF of Fractions for 38/647, 19/8469 is 19/5479443.