Use our free GCF of Fractions Calculator tool to compute the GCF of 4855/420, 4655/5119 i.e 5/2149980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4855/420, 4655/5119.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4855/420,4655/5119
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 4855/420,4655/5119, numerators are 4855,4655
Denominators are 420,5119
The GCF of 4855,4655 is 5 .
LCM of 420,5119 is 2149980.
The greatest common factor of 4855/420,4655/5119 = [GCF of 4855,4655]/[LCM of 420,5119]= 5/2149980
Therefore, the GCF of 4855/420,4655/5119 is 5/2149980.
To find the highest common factor of 4855,4655, we have to find the factors of both numbers and list the highest common factor.
The factors of 4855 are 1, 5, 971, 4855
The factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655
The HCF of 4855,4655 is 5.
Lets's calculate GCF of 4855,4655
5 | 4855, 4655 |
971, 931 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 4855
:1,5,971,4855
Now, list down the factors of 4655
:1,5,7,19,35,49,95,133,245,665,931,4655
Greatest Common Factor
We found the factors 4855,4655 . The biggest common factor number is the GCF number.
So the greatest common factor 4855,4655 is 5.
Lets's calculate LCM of 420,5119
Given numbers has no common factors except 1. So, there LCM is their product i.e 2149980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2149980
Therefore, the GCF of Fractions 4855/420,4655/5119 is 5/2149980
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 420,5119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5119) x common factors =1 x 1 = 1
LCM(420,5119) = ( 420 × 5119 ) / 1
LCM(420,5119) = 2149980 / 1
LCM(420,5119) = 2149980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4855,4655?
The HCF of 4855,4655 is 5
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 4855/420, 4655/5119?
Answer: GCF of Numerators as per given numbers 4855/420, 4655/5119 is
GCF of Numerators i.e. for 4855,4655 is 5
LCM of denominators i.e. for 420,5119 is 2149980.
Thus, GCF of Fractions is 5/2149980.Finally, GCF of Fractions for 4855/420, 4655/5119 is 5/2149980.