Use our free GCF of Fractions Calculator tool to compute the GCF of 22/33, 385/50, 220/955 i.e 11/315150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/33, 385/50, 220/955.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/33,385/50,220/955
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 22/33,385/50,220/955, numerators are 22,385,220
Denominators are 33,50,955
The GCF of 22,385,220 is 11 .
LCM of 33,50,955 is 315150.
The greatest common factor of 22/33,385/50,220/955 = [GCF of 22,385,220]/[LCM of 33,50,955]= 11/315150
Therefore, the GCF of 22/33,385/50,220/955 is 11/315150.
To find the highest common factor of 22,385,220, 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 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 22,385,220 is 11.
Lets's calculate GCF of 22,385,220
11 | 22, 385, 220 |
2, 35, 20 |
∴ 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 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 22,385,220 . The biggest common factor number is the GCF number.
So the greatest common factor 22,385,220 is 11.
Lets's calculate LCM of 33,50,955
5 | 33, 50, 955 |
33, 10, 191 |
∴ So the LCM of the given numbers is 5 x 33 x 10 x 191 = 315150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/315150
Therefore, the GCF of Fractions 22/33,385/50,220/955 is 11/315150
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 33,50,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,50,955) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(33,50,955) x common factors =1 x 5 = 5
LCM(33,50,955) = ( 33 × 50 × 955 ) / 5
LCM(33,50,955) = 1575750 / 5
LCM(33,50,955) = 315150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,385,220?
The HCF of 22,385,220 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 22/33, 385/50, 220/955?
Answer: GCF of Numerators as per given numbers 22/33, 385/50, 220/955 is
GCF of Numerators i.e. for 22,385,220 is 11
LCM of denominators i.e. for 33,50,955 is 315150.
Thus, GCF of Fractions is 11/315150.Finally, GCF of Fractions for 22/33, 385/50, 220/955 is 11/315150.