Use our free GCF of Fractions Calculator tool to compute the GCF of 196/209, 269/426 i.e 1/89034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/209, 269/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/209,269/426
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 196/209,269/426, numerators are 196,269
Denominators are 209,426
The GCF of 196,269 is 1 .
LCM of 209,426 is 89034.
The greatest common factor of 196/209,269/426 = [GCF of 196,269]/[LCM of 209,426]= 1/89034
Therefore, the GCF of 196/209,269/426 is 1/89034.
To find the highest common factor of 196,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The factors of 269 are 1, 269
The HCF of 196,269 is 1.
Lets's calculate GCF of 196,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 196,269 . The biggest common factor number is the GCF number.
So the greatest common factor 196,269 is 1.
Lets's calculate LCM of 209,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 89034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89034
Therefore, the GCF of Fractions 196/209,269/426 is 1/89034
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 209,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,426) x common factors =1 x 1 = 1
LCM(209,426) = ( 209 × 426 ) / 1
LCM(209,426) = 89034 / 1
LCM(209,426) = 89034
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 196,269?
The HCF of 196,269 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 196/209, 269/426?
Answer: GCF of Numerators as per given numbers 196/209, 269/426 is
GCF of Numerators i.e. for 196,269 is 1
LCM of denominators i.e. for 209,426 is 89034.
Thus, GCF of Fractions is 1/89034.Finally, GCF of Fractions for 196/209, 269/426 is 1/89034.