GCF of 3708/264, 9429/3086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3708/264, 9429/3086 i.e 3/407352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3708/264, 9429/3086.
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 3708/264,9429/3086?
Given fractions are 3708/264,9429/3086
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 3708/264,9429/3086, numerators are 3708,9429
Denominators are 264,3086
The GCF of 3708,9429 is 3 .
LCM of 264,3086 is 407352.
The greatest common factor of 3708/264,9429/3086 = [GCF of 3708,9429]/[LCM of 264,3086]= 3/407352
Therefore, the GCF of 3708/264,9429/3086 is 3/407352.
To find the highest common factor of 3708,9429, 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 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The HCF of 3708,9429 is 3.
Lets's calculate GCF of 3708,9429
| 3 | 3708, 9429 |
| 1236, 3143 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3708,9429 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 9429
:1,3,7,21,449,1347,3143,9429
Greatest Common Factor
We found the factors 3708,9429 . The biggest common factor number is the GCF number.
So the greatest common factor 3708,9429 is 3.
Lets's calculate LCM of 264,3086
| 2 | 264, 3086 |
| 132, 1543 |
∴ So the LCM of the given numbers is 2 x 132 x 1543 = 407352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/407352
Therefore, the GCF of Fractions 3708/264,9429/3086 is 3/407352
Least Common Multiple of 264,3086 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 264,3086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,3086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(264,3086) x common factors =2 x 1 = 2
LCM(264,3086) = ( 264 × 3086 ) / 2
LCM(264,3086) = 814704 / 2
LCM(264,3086) = 407352
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FAQs on GCF of Fractions of 3708/264, 9429/3086
1. What is the HCF of 3708,9429?
The HCF of 3708,9429 is 3
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 3708/264, 9429/3086?
Answer: GCF of Numerators as per given numbers 3708/264, 9429/3086 is
GCF of Numerators i.e. for 3708,9429 is 3
LCM of denominators i.e. for 264,3086 is 407352.
Thus, GCF of Fractions is 3/407352.Finally, GCF of Fractions for 3708/264, 9429/3086 is 3/407352.