Use our free GCF of Fractions Calculator tool to compute the GCF of 3755/484, 6288/2309 i.e 1/1117556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3755/484, 6288/2309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3755/484,6288/2309
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 3755/484,6288/2309, numerators are 3755,6288
Denominators are 484,2309
The GCF of 3755,6288 is 1 .
LCM of 484,2309 is 1117556.
The greatest common factor of 3755/484,6288/2309 = [GCF of 3755,6288]/[LCM of 484,2309]= 1/1117556
Therefore, the GCF of 3755/484,6288/2309 is 1/1117556.
To find the highest common factor of 3755,6288, we have to find the factors of both numbers and list the highest common factor.
The factors of 3755 are 1, 5, 751, 3755
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The HCF of 3755,6288 is 1.
Lets's calculate GCF of 3755,6288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3755
:1,5,751,3755
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 3755,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 3755,6288 is 1.
Lets's calculate LCM of 484,2309
Given numbers has no common factors except 1. So, there LCM is their product i.e 1117556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117556
Therefore, the GCF of Fractions 3755/484,6288/2309 is 1/1117556
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 484,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,2309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,2309) x common factors =1 x 1 = 1
LCM(484,2309) = ( 484 × 2309 ) / 1
LCM(484,2309) = 1117556 / 1
LCM(484,2309) = 1117556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3755,6288?
The HCF of 3755,6288 is 1
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 3755/484, 6288/2309?
Answer: GCF of Numerators as per given numbers 3755/484, 6288/2309 is
GCF of Numerators i.e. for 3755,6288 is 1
LCM of denominators i.e. for 484,2309 is 1117556.
Thus, GCF of Fractions is 1/1117556.Finally, GCF of Fractions for 3755/484, 6288/2309 is 1/1117556.