Use our free GCF of Fractions Calculator tool to compute the GCF of 398/974, 719/750 i.e 1/365250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/974, 719/750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 398/974,719/750
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 398/974,719/750, numerators are 398,719
Denominators are 974,750
The GCF of 398,719 is 1 .
LCM of 974,750 is 365250.
The greatest common factor of 398/974,719/750 = [GCF of 398,719]/[LCM of 974,750]= 1/365250
Therefore, the GCF of 398/974,719/750 is 1/365250.
To find the highest common factor of 398,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 398 are 1, 2, 199, 398
The factors of 719 are 1, 719
The HCF of 398,719 is 1.
Lets's calculate GCF of 398,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 398
:1,2,199,398
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 398,719 . The biggest common factor number is the GCF number.
So the greatest common factor 398,719 is 1.
Lets's calculate LCM of 974,750
2 | 974, 750 |
487, 375 |
∴ So the LCM of the given numbers is 2 x 487 x 375 = 365250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365250
Therefore, the GCF of Fractions 398/974,719/750 is 1/365250
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 974,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,750) x common factors =2 x 1 = 2
LCM(974,750) = ( 974 × 750 ) / 2
LCM(974,750) = 730500 / 2
LCM(974,750) = 365250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 398,719?
The HCF of 398,719 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 398/974, 719/750?
Answer: GCF of Numerators as per given numbers 398/974, 719/750 is
GCF of Numerators i.e. for 398,719 is 1
LCM of denominators i.e. for 974,750 is 365250.
Thus, GCF of Fractions is 1/365250.Finally, GCF of Fractions for 398/974, 719/750 is 1/365250.