GCF of 3708/381, 9420/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3708/381, 9420/455 i.e 12/173355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3708/381, 9420/455.
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 3708/381,9420/455?
Given fractions are 3708/381,9420/455
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 3708/381,9420/455, numerators are 3708,9420
Denominators are 381,455
The GCF of 3708,9420 is 12 .
LCM of 381,455 is 173355.
The greatest common factor of 3708/381,9420/455 = [GCF of 3708,9420]/[LCM of 381,455]= 12/173355
Therefore, the GCF of 3708/381,9420/455 is 12/173355.
To find the highest common factor of 3708,9420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The HCF of 3708,9420 is 12.
Lets's calculate GCF of 3708,9420
| 2 | 3708, 9420 |
| 2 | 1854, 4710 |
| 3 | 927, 2355 |
| 309, 785 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3708,9420 By Matching Biggest Common Factor Method
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 3708,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 3708,9420 is 12.
Lets's calculate LCM of 381,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 173355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/173355
Therefore, the GCF of Fractions 3708/381,9420/455 is 12/173355
Least Common Multiple of 381,455 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 381,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,455) x common factors =1 x 1 = 1
LCM(381,455) = ( 381 × 455 ) / 1
LCM(381,455) = 173355 / 1
LCM(381,455) = 173355
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FAQs on GCF of Fractions of 3708/381, 9420/455
1. What is the HCF of 3708,9420?
The HCF of 3708,9420 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 3708/381, 9420/455?
Answer: GCF of Numerators as per given numbers 3708/381, 9420/455 is
GCF of Numerators i.e. for 3708,9420 is 12
LCM of denominators i.e. for 381,455 is 173355.
Thus, GCF of Fractions is 12/173355.Finally, GCF of Fractions for 3708/381, 9420/455 is 12/173355.