Use our free GCF of Fractions Calculator tool to compute the GCF of 44/77, 40/436, 120/583 i.e 4/1779316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/77, 40/436, 120/583.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/77,40/436,120/583
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 44/77,40/436,120/583, numerators are 44,40,120
Denominators are 77,436,583
The GCF of 44,40,120 is 4 .
LCM of 77,436,583 is 1779316.
The greatest common factor of 44/77,40/436,120/583 = [GCF of 44,40,120]/[LCM of 77,436,583]= 4/1779316
Therefore, the GCF of 44/77,40/436,120/583 is 4/1779316.
To find the highest common factor of 44,40,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 44,40,120 is 4.
Lets's calculate GCF of 44,40,120
2 | 44, 40, 120 |
2 | 22, 20, 60 |
11, 10, 30 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 44,40,120 . The biggest common factor number is the GCF number.
So the greatest common factor 44,40,120 is 4.
Lets's calculate LCM of 77,436,583
11 | 77, 436, 583 |
7, 436, 53 |
∴ So the LCM of the given numbers is 11 x 7 x 436 x 53 = 1779316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1779316
Therefore, the GCF of Fractions 44/77,40/436,120/583 is 4/1779316
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 77,436,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,436,583) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,436,583) x common factors =1 x 11 = 11
LCM(77,436,583) = ( 77 × 436 × 583 ) / 11
LCM(77,436,583) = 19572476 / 11
LCM(77,436,583) = 1779316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 44,40,120?
The HCF of 44,40,120 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 44/77, 40/436, 120/583?
Answer: GCF of Numerators as per given numbers 44/77, 40/436, 120/583 is
GCF of Numerators i.e. for 44,40,120 is 4
LCM of denominators i.e. for 77,436,583 is 1779316.
Thus, GCF of Fractions is 4/1779316.Finally, GCF of Fractions for 44/77, 40/436, 120/583 is 4/1779316.