Use our free GCF of Fractions Calculator tool to compute the GCF of 375/332, 792/598 i.e 3/99268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/332, 792/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/332,792/598
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 375/332,792/598, numerators are 375,792
Denominators are 332,598
The GCF of 375,792 is 3 .
LCM of 332,598 is 99268.
The greatest common factor of 375/332,792/598 = [GCF of 375,792]/[LCM of 332,598]= 3/99268
Therefore, the GCF of 375/332,792/598 is 3/99268.
To find the highest common factor of 375,792, we have to find the factors of both numbers and list the highest common factor.
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The HCF of 375,792 is 3.
Lets's calculate GCF of 375,792
3 | 375, 792 |
125, 264 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 375,792 . The biggest common factor number is the GCF number.
So the greatest common factor 375,792 is 3.
Lets's calculate LCM of 332,598
2 | 332, 598 |
166, 299 |
∴ So the LCM of the given numbers is 2 x 166 x 299 = 99268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99268
Therefore, the GCF of Fractions 375/332,792/598 is 3/99268
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 332,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(332,598) x common factors =2 x 1 = 2
LCM(332,598) = ( 332 × 598 ) / 2
LCM(332,598) = 198536 / 2
LCM(332,598) = 99268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 375,792?
The HCF of 375,792 is 3
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 375/332, 792/598?
Answer: GCF of Numerators as per given numbers 375/332, 792/598 is
GCF of Numerators i.e. for 375,792 is 3
LCM of denominators i.e. for 332,598 is 99268.
Thus, GCF of Fractions is 3/99268.Finally, GCF of Fractions for 375/332, 792/598 is 3/99268.