Use our free GCF of Fractions Calculator tool to compute the GCF of 103/21, 421/767 i.e 1/16107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/21, 421/767.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/21,421/767
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 103/21,421/767, numerators are 103,421
Denominators are 21,767
The GCF of 103,421 is 1 .
LCM of 21,767 is 16107.
The greatest common factor of 103/21,421/767 = [GCF of 103,421]/[LCM of 21,767]= 1/16107
Therefore, the GCF of 103/21,421/767 is 1/16107.
To find the highest common factor of 103,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 103 are 1, 103
The factors of 421 are 1, 421
The HCF of 103,421 is 1.
Lets's calculate GCF of 103,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 103
:1,103
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 103,421 . The biggest common factor number is the GCF number.
So the greatest common factor 103,421 is 1.
Lets's calculate LCM of 21,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 16107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16107
Therefore, the GCF of Fractions 103/21,421/767 is 1/16107
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 21,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,767) x common factors =1 x 1 = 1
LCM(21,767) = ( 21 × 767 ) / 1
LCM(21,767) = 16107 / 1
LCM(21,767) = 16107
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 103,421?
The HCF of 103,421 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 103/21, 421/767?
Answer: GCF of Numerators as per given numbers 103/21, 421/767 is
GCF of Numerators i.e. for 103,421 is 1
LCM of denominators i.e. for 21,767 is 16107.
Thus, GCF of Fractions is 1/16107.Finally, GCF of Fractions for 103/21, 421/767 is 1/16107.