GCF of 3828/716, 3612/4497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3828/716, 3612/4497 i.e 12/3219852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3828/716, 3612/4497.
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 3828/716,3612/4497?
Given fractions are 3828/716,3612/4497
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 3828/716,3612/4497, numerators are 3828,3612
Denominators are 716,4497
The GCF of 3828,3612 is 12 .
LCM of 716,4497 is 3219852.
The greatest common factor of 3828/716,3612/4497 = [GCF of 3828,3612]/[LCM of 716,4497]= 12/3219852
Therefore, the GCF of 3828/716,3612/4497 is 12/3219852.
To find the highest common factor of 3828,3612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612
The HCF of 3828,3612 is 12.
Lets's calculate GCF of 3828,3612
| 2 | 3828, 3612 |
| 2 | 1914, 1806 |
| 3 | 957, 903 |
| 319, 301 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3828,3612 By Matching Biggest Common Factor Method
Now, list down the factors of 3828
:1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Now, list down the factors of 3612
:1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Greatest Common Factor
We found the factors 3828,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,3612 is 12.
Lets's calculate LCM of 716,4497
Given numbers has no common factors except 1. So, there LCM is their product i.e 3219852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3219852
Therefore, the GCF of Fractions 3828/716,3612/4497 is 12/3219852
Least Common Multiple of 716,4497 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 716,4497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,4497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,4497) x common factors =1 x 1 = 1
LCM(716,4497) = ( 716 × 4497 ) / 1
LCM(716,4497) = 3219852 / 1
LCM(716,4497) = 3219852
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FAQs on GCF of Fractions of 3828/716, 3612/4497
1. What is the HCF of 3828,3612?
The HCF of 3828,3612 is 12
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 3828/716, 3612/4497?
Answer: GCF of Numerators as per given numbers 3828/716, 3612/4497 is
GCF of Numerators i.e. for 3828,3612 is 12
LCM of denominators i.e. for 716,4497 is 3219852.
Thus, GCF of Fractions is 12/3219852.Finally, GCF of Fractions for 3828/716, 3612/4497 is 12/3219852.