Use our free GCF of Fractions Calculator tool to compute the GCF of 97/840, 17/3828 i.e 1/267960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/840, 17/3828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/840,17/3828
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 97/840,17/3828, numerators are 97,17
Denominators are 840,3828
The GCF of 97,17 is 1 .
LCM of 840,3828 is 267960.
The greatest common factor of 97/840,17/3828 = [GCF of 97,17]/[LCM of 840,3828]= 1/267960
Therefore, the GCF of 97/840,17/3828 is 1/267960.
To find the highest common factor of 97,17, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 17 are 1, 17
The HCF of 97,17 is 1.
Lets's calculate GCF of 97,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 840,3828
2 | 840, 3828 |
2 | 420, 1914 |
3 | 210, 957 |
70, 319 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 70 x 319 = 267960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267960
Therefore, the GCF of Fractions 97/840,17/3828 is 1/267960
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 840,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,3828) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(840,3828) x common factors =12 x 1 = 12
LCM(840,3828) = ( 840 × 3828 ) / 12
LCM(840,3828) = 3215520 / 12
LCM(840,3828) = 267960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,17?
The HCF of 97,17 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 97/840, 17/3828?
Answer: GCF of Numerators as per given numbers 97/840, 17/3828 is
GCF of Numerators i.e. for 97,17 is 1
LCM of denominators i.e. for 840,3828 is 267960.
Thus, GCF of Fractions is 1/267960.Finally, GCF of Fractions for 97/840, 17/3828 is 1/267960.