GCF of 2655/304, 3708/1441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2655/304, 3708/1441 i.e 9/438064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2655/304, 3708/1441.
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 2655/304,3708/1441?
Given fractions are 2655/304,3708/1441
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 2655/304,3708/1441, numerators are 2655,3708
Denominators are 304,1441
The GCF of 2655,3708 is 9 .
LCM of 304,1441 is 438064.
The greatest common factor of 2655/304,3708/1441 = [GCF of 2655,3708]/[LCM of 304,1441]= 9/438064
Therefore, the GCF of 2655/304,3708/1441 is 9/438064.
To find the highest common factor of 2655,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 2655,3708 is 9.
Lets's calculate GCF of 2655,3708
| 3 | 2655, 3708 |
| 3 | 885, 1236 |
| 295, 412 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2655,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 2655
:1,3,5,9,15,45,59,177,295,531,885,2655
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
Greatest Common Factor
We found the factors 2655,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,3708 is 9.
Lets's calculate LCM of 304,1441
Given numbers has no common factors except 1. So, there LCM is their product i.e 438064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/438064
Therefore, the GCF of Fractions 2655/304,3708/1441 is 9/438064
Least Common Multiple of 304,1441 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 304,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,1441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,1441) x common factors =1 x 1 = 1
LCM(304,1441) = ( 304 × 1441 ) / 1
LCM(304,1441) = 438064 / 1
LCM(304,1441) = 438064
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FAQs on GCF of Fractions of 2655/304, 3708/1441
1. What is the HCF of 2655,3708?
The HCF of 2655,3708 is 9
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 2655/304, 3708/1441?
Answer: GCF of Numerators as per given numbers 2655/304, 3708/1441 is
GCF of Numerators i.e. for 2655,3708 is 9
LCM of denominators i.e. for 304,1441 is 438064.
Thus, GCF of Fractions is 9/438064.Finally, GCF of Fractions for 2655/304, 3708/1441 is 9/438064.