Use our free GCF of Fractions Calculator tool to compute the GCF of 236/408, 914/698 i.e 2/142392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/408, 914/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/408,914/698
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 236/408,914/698, numerators are 236,914
Denominators are 408,698
The GCF of 236,914 is 2 .
LCM of 408,698 is 142392.
The greatest common factor of 236/408,914/698 = [GCF of 236,914]/[LCM of 408,698]= 2/142392
Therefore, the GCF of 236/408,914/698 is 2/142392.
To find the highest common factor of 236,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 914 are 1, 2, 457, 914
The HCF of 236,914 is 2.
Lets's calculate GCF of 236,914
2 | 236, 914 |
118, 457 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 236,914 . The biggest common factor number is the GCF number.
So the greatest common factor 236,914 is 2.
Lets's calculate LCM of 408,698
2 | 408, 698 |
204, 349 |
∴ So the LCM of the given numbers is 2 x 204 x 349 = 142392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142392
Therefore, the GCF of Fractions 236/408,914/698 is 2/142392
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 408,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(408,698) x common factors =2 x 1 = 2
LCM(408,698) = ( 408 × 698 ) / 2
LCM(408,698) = 284784 / 2
LCM(408,698) = 142392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 236,914?
The HCF of 236,914 is 2
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 236/408, 914/698?
Answer: GCF of Numerators as per given numbers 236/408, 914/698 is
GCF of Numerators i.e. for 236,914 is 2
LCM of denominators i.e. for 408,698 is 142392.
Thus, GCF of Fractions is 2/142392.Finally, GCF of Fractions for 236/408, 914/698 is 2/142392.