Use our free GCF of Fractions Calculator tool to compute the GCF of 914/101, 839/209 i.e 1/21109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/101, 839/209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/101,839/209
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 914/101,839/209, numerators are 914,839
Denominators are 101,209
The GCF of 914,839 is 1 .
LCM of 101,209 is 21109.
The greatest common factor of 914/101,839/209 = [GCF of 914,839]/[LCM of 101,209]= 1/21109
Therefore, the GCF of 914/101,839/209 is 1/21109.
To find the highest common factor of 914,839, we have to find the factors of both numbers and list the highest common factor.
The factors of 914 are 1, 2, 457, 914
The factors of 839 are 1, 839
The HCF of 914,839 is 1.
Lets's calculate GCF of 914,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 839
:1,839
Greatest Common Factor
We found the factors 914,839 . The biggest common factor number is the GCF number.
So the greatest common factor 914,839 is 1.
Lets's calculate LCM of 101,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 21109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21109
Therefore, the GCF of Fractions 914/101,839/209 is 1/21109
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 101,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,209) x common factors =1 x 1 = 1
LCM(101,209) = ( 101 × 209 ) / 1
LCM(101,209) = 21109 / 1
LCM(101,209) = 21109
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 914,839?
The HCF of 914,839 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 914/101, 839/209?
Answer: GCF of Numerators as per given numbers 914/101, 839/209 is
GCF of Numerators i.e. for 914,839 is 1
LCM of denominators i.e. for 101,209 is 21109.
Thus, GCF of Fractions is 1/21109.Finally, GCF of Fractions for 914/101, 839/209 is 1/21109.