Use our free GCF of Fractions Calculator tool to compute the GCF of 18/22, 380/23, 528/844 i.e 2/213532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/22, 380/23, 528/844.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/22,380/23,528/844
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 18/22,380/23,528/844, numerators are 18,380,528
Denominators are 22,23,844
The GCF of 18,380,528 is 2 .
LCM of 22,23,844 is 213532.
The greatest common factor of 18/22,380/23,528/844 = [GCF of 18,380,528]/[LCM of 22,23,844]= 2/213532
Therefore, the GCF of 18/22,380/23,528/844 is 2/213532.
To find the highest common factor of 18,380,528, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The HCF of 18,380,528 is 2.
Lets's calculate GCF of 18,380,528
2 | 18, 380, 528 |
9, 190, 264 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 18,380,528 . The biggest common factor number is the GCF number.
So the greatest common factor 18,380,528 is 2.
Lets's calculate LCM of 22,23,844
2 | 22, 23, 844 |
11, 23, 422 |
∴ So the LCM of the given numbers is 2 x 11 x 23 x 422 = 213532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213532
Therefore, the GCF of Fractions 18/22,380/23,528/844 is 2/213532
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 22,23,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,23,844) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,23,844) x common factors =1 x 2 = 2
LCM(22,23,844) = ( 22 × 23 × 844 ) / 2
LCM(22,23,844) = 427064 / 2
LCM(22,23,844) = 213532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,380,528?
The HCF of 18,380,528 is 2
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 18/22, 380/23, 528/844?
Answer: GCF of Numerators as per given numbers 18/22, 380/23, 528/844 is
GCF of Numerators i.e. for 18,380,528 is 2
LCM of denominators i.e. for 22,23,844 is 213532.
Thus, GCF of Fractions is 2/213532.Finally, GCF of Fractions for 18/22, 380/23, 528/844 is 2/213532.