GCF of 3664/811, 7360/1660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3664/811, 7360/1660 i.e 16/1346260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3664/811, 7360/1660.
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 3664/811,7360/1660?
Given fractions are 3664/811,7360/1660
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 3664/811,7360/1660, numerators are 3664,7360
Denominators are 811,1660
The GCF of 3664,7360 is 16 .
LCM of 811,1660 is 1346260.
The greatest common factor of 3664/811,7360/1660 = [GCF of 3664,7360]/[LCM of 811,1660]= 16/1346260
Therefore, the GCF of 3664/811,7360/1660 is 16/1346260.
To find the highest common factor of 3664,7360, we have to find the factors of both numbers and list the highest common factor.
The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The HCF of 3664,7360 is 16.
Lets's calculate GCF of 3664,7360
| 2 | 3664, 7360 |
| 2 | 1832, 3680 |
| 2 | 916, 1840 |
| 2 | 458, 920 |
| 229, 460 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3664,7360 By Matching Biggest Common Factor Method
Now, list down the factors of 3664
:1,2,4,8,16,229,458,916,1832,3664
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Greatest Common Factor
We found the factors 3664,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 3664,7360 is 16.
Lets's calculate LCM of 811,1660
Given numbers has no common factors except 1. So, there LCM is their product i.e 1346260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1346260
Therefore, the GCF of Fractions 3664/811,7360/1660 is 16/1346260
Least Common Multiple of 811,1660 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 811,1660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,1660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,1660) x common factors =1 x 1 = 1
LCM(811,1660) = ( 811 × 1660 ) / 1
LCM(811,1660) = 1346260 / 1
LCM(811,1660) = 1346260
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FAQs on GCF of Fractions of 3664/811, 7360/1660
1. What is the HCF of 3664,7360?
The HCF of 3664,7360 is 16
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 3664/811, 7360/1660?
Answer: GCF of Numerators as per given numbers 3664/811, 7360/1660 is
GCF of Numerators i.e. for 3664,7360 is 16
LCM of denominators i.e. for 811,1660 is 1346260.
Thus, GCF of Fractions is 16/1346260.Finally, GCF of Fractions for 3664/811, 7360/1660 is 16/1346260.