GCF of 3228/708, 5726/4101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3228/708, 5726/4101 i.e 2/967836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3228/708, 5726/4101.
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 3228/708,5726/4101?
Given fractions are 3228/708,5726/4101
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 3228/708,5726/4101, numerators are 3228,5726
Denominators are 708,4101
The GCF of 3228,5726 is 2 .
LCM of 708,4101 is 967836.
The greatest common factor of 3228/708,5726/4101 = [GCF of 3228,5726]/[LCM of 708,4101]= 2/967836
Therefore, the GCF of 3228/708,5726/4101 is 2/967836.
To find the highest common factor of 3228,5726, we have to find the factors of both numbers and list the highest common factor.
The factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The HCF of 3228,5726 is 2.
Lets's calculate GCF of 3228,5726
| 2 | 3228, 5726 |
| 1614, 2863 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3228,5726 By Matching Biggest Common Factor Method
Now, list down the factors of 3228
:1,2,3,4,6,12,269,538,807,1076,1614,3228
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Greatest Common Factor
We found the factors 3228,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 3228,5726 is 2.
Lets's calculate LCM of 708,4101
| 3 | 708, 4101 |
| 236, 1367 |
∴ So the LCM of the given numbers is 3 x 236 x 1367 = 967836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/967836
Therefore, the GCF of Fractions 3228/708,5726/4101 is 2/967836
Least Common Multiple of 708,4101 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 708,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,4101) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,4101) x common factors =3 x 1 = 3
LCM(708,4101) = ( 708 × 4101 ) / 3
LCM(708,4101) = 2903508 / 3
LCM(708,4101) = 967836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3228/708, 5726/4101
1. What is the HCF of 3228,5726?
The HCF of 3228,5726 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 3228/708, 5726/4101?
Answer: GCF of Numerators as per given numbers 3228/708, 5726/4101 is
GCF of Numerators i.e. for 3228,5726 is 2
LCM of denominators i.e. for 708,4101 is 967836.
Thus, GCF of Fractions is 2/967836.Finally, GCF of Fractions for 3228/708, 5726/4101 is 2/967836.