Use our free GCF of Fractions Calculator tool to compute the GCF of 8304/995, 3508/3545 i.e 4/705455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8304/995, 3508/3545.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8304/995,3508/3545
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 8304/995,3508/3545, numerators are 8304,3508
Denominators are 995,3545
The GCF of 8304,3508 is 4 .
LCM of 995,3545 is 705455.
The greatest common factor of 8304/995,3508/3545 = [GCF of 8304,3508]/[LCM of 995,3545]= 4/705455
Therefore, the GCF of 8304/995,3508/3545 is 4/705455.
To find the highest common factor of 8304,3508, we have to find the factors of both numbers and list the highest common factor.
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The HCF of 8304,3508 is 4.
Lets's calculate GCF of 8304,3508
2 | 8304, 3508 |
2 | 4152, 1754 |
2076, 877 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Greatest Common Factor
We found the factors 8304,3508 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,3508 is 4.
Lets's calculate LCM of 995,3545
5 | 995, 3545 |
199, 709 |
∴ So the LCM of the given numbers is 5 x 199 x 709 = 705455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/705455
Therefore, the GCF of Fractions 8304/995,3508/3545 is 4/705455
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 995,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,3545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,3545) x common factors =5 x 1 = 5
LCM(995,3545) = ( 995 × 3545 ) / 5
LCM(995,3545) = 3527275 / 5
LCM(995,3545) = 705455
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8304,3508?
The HCF of 8304,3508 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 8304/995, 3508/3545?
Answer: GCF of Numerators as per given numbers 8304/995, 3508/3545 is
GCF of Numerators i.e. for 8304,3508 is 4
LCM of denominators i.e. for 995,3545 is 705455.
Thus, GCF of Fractions is 4/705455.Finally, GCF of Fractions for 8304/995, 3508/3545 is 4/705455.