Use our free GCF of Fractions Calculator tool to compute the GCF of 22/48, 55/416, 396/600 i.e 11/31200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/48, 55/416, 396/600.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/48,55/416,396/600
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 22/48,55/416,396/600, numerators are 22,55,396
Denominators are 48,416,600
The GCF of 22,55,396 is 11 .
LCM of 48,416,600 is 31200.
The greatest common factor of 22/48,55/416,396/600 = [GCF of 22,55,396]/[LCM of 48,416,600]= 11/31200
Therefore, the GCF of 22/48,55/416,396/600 is 11/31200.
To find the highest common factor of 22,55,396, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 55 are 1, 5, 11, 55
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The HCF of 22,55,396 is 11.
Lets's calculate GCF of 22,55,396
11 | 22, 55, 396 |
2, 5, 36 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 22,55,396 . The biggest common factor number is the GCF number.
So the greatest common factor 22,55,396 is 11.
Lets's calculate LCM of 48,416,600
2 | 48, 416, 600 |
2 | 24, 208, 300 |
2 | 12, 104, 150 |
2 | 6, 52, 75 |
3 | 3, 26, 75 |
1, 26, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 26 x 25 = 31200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/31200
Therefore, the GCF of Fractions 22/48,55/416,396/600 is 11/31200
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 48,416,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,416,600) = 8
common factors(in case of two or more numbers have common factors) = 48
GCF(48,416,600) x common factors =8 x 48 = 384
LCM(48,416,600) = ( 48 × 416 × 600 ) / 384
LCM(48,416,600) = 11980800 / 384
LCM(48,416,600) = 31200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,55,396?
The HCF of 22,55,396 is 11
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 22/48, 55/416, 396/600?
Answer: GCF of Numerators as per given numbers 22/48, 55/416, 396/600 is
GCF of Numerators i.e. for 22,55,396 is 11
LCM of denominators i.e. for 48,416,600 is 31200.
Thus, GCF of Fractions is 11/31200.Finally, GCF of Fractions for 22/48, 55/416, 396/600 is 11/31200.