Use our free GCF of Fractions Calculator tool to compute the GCF of 421/979, 825/214 i.e 1/209506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 421/979, 825/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/979,825/214
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 421/979,825/214, numerators are 421,825
Denominators are 979,214
The GCF of 421,825 is 1 .
LCM of 979,214 is 209506.
The greatest common factor of 421/979,825/214 = [GCF of 421,825]/[LCM of 979,214]= 1/209506
Therefore, the GCF of 421/979,825/214 is 1/209506.
To find the highest common factor of 421,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 421 are 1, 421
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 421,825 is 1.
Lets's calculate GCF of 421,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 421
:1,421
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 421,825 . The biggest common factor number is the GCF number.
So the greatest common factor 421,825 is 1.
Lets's calculate LCM of 979,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 209506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209506
Therefore, the GCF of Fractions 421/979,825/214 is 1/209506
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 979,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,214) x common factors =1 x 1 = 1
LCM(979,214) = ( 979 × 214 ) / 1
LCM(979,214) = 209506 / 1
LCM(979,214) = 209506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 421,825?
The HCF of 421,825 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 421/979, 825/214?
Answer: GCF of Numerators as per given numbers 421/979, 825/214 is
GCF of Numerators i.e. for 421,825 is 1
LCM of denominators i.e. for 979,214 is 209506.
Thus, GCF of Fractions is 1/209506.Finally, GCF of Fractions for 421/979, 825/214 is 1/209506.