GCF of 3886/288, 6472/5329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3886/288, 6472/5329 i.e 2/1534752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3886/288, 6472/5329.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3886/288,6472/5329?
Given fractions are 3886/288,6472/5329
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 3886/288,6472/5329, numerators are 3886,6472
Denominators are 288,5329
The GCF of 3886,6472 is 2 .
LCM of 288,5329 is 1534752.
The greatest common factor of 3886/288,6472/5329 = [GCF of 3886,6472]/[LCM of 288,5329]= 2/1534752
Therefore, the GCF of 3886/288,6472/5329 is 2/1534752.
To find the highest common factor of 3886,6472, we have to find the factors of both numbers and list the highest common factor.
The factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886
The factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472
The HCF of 3886,6472 is 2.
Lets's calculate GCF of 3886,6472
| 2 | 3886, 6472 |
| 1943, 3236 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3886,6472 By Matching Biggest Common Factor Method
Now, list down the factors of 3886
:1,2,29,58,67,134,1943,3886
Now, list down the factors of 6472
:1,2,4,8,809,1618,3236,6472
Greatest Common Factor
We found the factors 3886,6472 . The biggest common factor number is the GCF number.
So the greatest common factor 3886,6472 is 2.
Lets's calculate LCM of 288,5329
Given numbers has no common factors except 1. So, there LCM is their product i.e 1534752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1534752
Therefore, the GCF of Fractions 3886/288,6472/5329 is 2/1534752
Least Common Multiple of 288,5329 with GCF Formula
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 288,5329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,5329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,5329) x common factors =1 x 1 = 1
LCM(288,5329) = ( 288 × 5329 ) / 1
LCM(288,5329) = 1534752 / 1
LCM(288,5329) = 1534752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3886/288, 6472/5329
1. What is the HCF of 3886,6472?
The HCF of 3886,6472 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 3886/288, 6472/5329?
Answer: GCF of Numerators as per given numbers 3886/288, 6472/5329 is
GCF of Numerators i.e. for 3886,6472 is 2
LCM of denominators i.e. for 288,5329 is 1534752.
Thus, GCF of Fractions is 2/1534752.Finally, GCF of Fractions for 3886/288, 6472/5329 is 2/1534752.