Use our free GCF of Fractions Calculator tool to compute the GCF of 792/450, 100/501 i.e 4/75150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/450, 100/501.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/450,100/501
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 792/450,100/501, numerators are 792,100
Denominators are 450,501
The GCF of 792,100 is 4 .
LCM of 450,501 is 75150.
The greatest common factor of 792/450,100/501 = [GCF of 792,100]/[LCM of 450,501]= 4/75150
Therefore, the GCF of 792/450,100/501 is 4/75150.
To find the highest common factor of 792,100, we have to find the factors of both numbers and list the highest common factor.
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 factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The HCF of 792,100 is 4.
Lets's calculate GCF of 792,100
2 | 792, 100 |
2 | 396, 50 |
198, 25 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 792,100 . The biggest common factor number is the GCF number.
So the greatest common factor 792,100 is 4.
Lets's calculate LCM of 450,501
3 | 450, 501 |
150, 167 |
∴ So the LCM of the given numbers is 3 x 150 x 167 = 75150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/75150
Therefore, the GCF of Fractions 792/450,100/501 is 4/75150
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 450,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(450,501) x common factors =3 x 1 = 3
LCM(450,501) = ( 450 × 501 ) / 3
LCM(450,501) = 225450 / 3
LCM(450,501) = 75150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 792,100?
The HCF of 792,100 is 4
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 792/450, 100/501?
Answer: GCF of Numerators as per given numbers 792/450, 100/501 is
GCF of Numerators i.e. for 792,100 is 4
LCM of denominators i.e. for 450,501 is 75150.
Thus, GCF of Fractions is 4/75150.Finally, GCF of Fractions for 792/450, 100/501 is 4/75150.