Use our free GCF of Fractions Calculator tool to compute the GCF of 229/974, 875/353 i.e 1/343822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/974, 875/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 229/974,875/353
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 229/974,875/353, numerators are 229,875
Denominators are 974,353
The GCF of 229,875 is 1 .
LCM of 974,353 is 343822.
The greatest common factor of 229/974,875/353 = [GCF of 229,875]/[LCM of 974,353]= 1/343822
Therefore, the GCF of 229/974,875/353 is 1/343822.
To find the highest common factor of 229,875, we have to find the factors of both numbers and list the highest common factor.
The factors of 229 are 1, 229
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The HCF of 229,875 is 1.
Lets's calculate GCF of 229,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 229
:1,229
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 229,875 . The biggest common factor number is the GCF number.
So the greatest common factor 229,875 is 1.
Lets's calculate LCM of 974,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 343822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343822
Therefore, the GCF of Fractions 229/974,875/353 is 1/343822
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 974,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,353) x common factors =1 x 1 = 1
LCM(974,353) = ( 974 × 353 ) / 1
LCM(974,353) = 343822 / 1
LCM(974,353) = 343822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 229,875?
The HCF of 229,875 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 229/974, 875/353?
Answer: GCF of Numerators as per given numbers 229/974, 875/353 is
GCF of Numerators i.e. for 229,875 is 1
LCM of denominators i.e. for 974,353 is 343822.
Thus, GCF of Fractions is 1/343822.Finally, GCF of Fractions for 229/974, 875/353 is 1/343822.