Use our free GCF of Fractions Calculator tool to compute the GCF of 818/149, 497/598 i.e 1/89102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/149, 497/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/149,497/598
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 818/149,497/598, numerators are 818,497
Denominators are 149,598
The GCF of 818,497 is 1 .
LCM of 149,598 is 89102.
The greatest common factor of 818/149,497/598 = [GCF of 818,497]/[LCM of 149,598]= 1/89102
Therefore, the GCF of 818/149,497/598 is 1/89102.
To find the highest common factor of 818,497, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 497 are 1, 7, 71, 497
The HCF of 818,497 is 1.
Lets's calculate GCF of 818,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 497
:1,7,71,497
Greatest Common Factor
We found the factors 818,497 . The biggest common factor number is the GCF number.
So the greatest common factor 818,497 is 1.
Lets's calculate LCM of 149,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 89102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89102
Therefore, the GCF of Fractions 818/149,497/598 is 1/89102
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 149,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,598) x common factors =1 x 1 = 1
LCM(149,598) = ( 149 × 598 ) / 1
LCM(149,598) = 89102 / 1
LCM(149,598) = 89102
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 818,497?
The HCF of 818,497 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 818/149, 497/598?
Answer: GCF of Numerators as per given numbers 818/149, 497/598 is
GCF of Numerators i.e. for 818,497 is 1
LCM of denominators i.e. for 149,598 is 89102.
Thus, GCF of Fractions is 1/89102.Finally, GCF of Fractions for 818/149, 497/598 is 1/89102.