Use our free GCF of Fractions Calculator tool to compute the GCF of 55/396, 4620/8947 i.e 55/3543012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/396, 4620/8947.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/396,4620/8947
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 55/396,4620/8947, numerators are 55,4620
Denominators are 396,8947
The GCF of 55,4620 is 55 .
LCM of 396,8947 is 3543012.
The greatest common factor of 55/396,4620/8947 = [GCF of 55,4620]/[LCM of 396,8947]= 55/3543012
Therefore, the GCF of 55/396,4620/8947 is 55/3543012.
To find the highest common factor of 55,4620, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620
The HCF of 55,4620 is 55.
Lets's calculate GCF of 55,4620
5 | 55, 4620 |
11 | 11, 924 |
1, 84 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 4620
:1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620
Greatest Common Factor
We found the factors 55,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 55,4620 is 55.
Lets's calculate LCM of 396,8947
Given numbers has no common factors except 1. So, there LCM is their product i.e 3543012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/3543012
Therefore, the GCF of Fractions 55/396,4620/8947 is 55/3543012
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 396,8947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,8947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,8947) x common factors =1 x 1 = 1
LCM(396,8947) = ( 396 × 8947 ) / 1
LCM(396,8947) = 3543012 / 1
LCM(396,8947) = 3543012
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,4620?
The HCF of 55,4620 is 55
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 55/396, 4620/8947?
Answer: GCF of Numerators as per given numbers 55/396, 4620/8947 is
GCF of Numerators i.e. for 55,4620 is 55
LCM of denominators i.e. for 396,8947 is 3543012.
Thus, GCF of Fractions is 55/3543012.Finally, GCF of Fractions for 55/396, 4620/8947 is 55/3543012.