GCF of 3204/719, 8712/3855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3204/719, 8712/3855 i.e 36/2771745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3204/719, 8712/3855.
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 3204/719,8712/3855?
Given fractions are 3204/719,8712/3855
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 3204/719,8712/3855, numerators are 3204,8712
Denominators are 719,3855
The GCF of 3204,8712 is 36 .
LCM of 719,3855 is 2771745.
The greatest common factor of 3204/719,8712/3855 = [GCF of 3204,8712]/[LCM of 719,3855]= 36/2771745
Therefore, the GCF of 3204/719,8712/3855 is 36/2771745.
To find the highest common factor of 3204,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 3204,8712 is 36.
Lets's calculate GCF of 3204,8712
| 2 | 3204, 8712 |
| 2 | 1602, 4356 |
| 3 | 801, 2178 |
| 3 | 267, 726 |
| 89, 242 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 3204,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 3204
:1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 3204,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 3204,8712 is 36.
Lets's calculate LCM of 719,3855
Given numbers has no common factors except 1. So, there LCM is their product i.e 2771745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/2771745
Therefore, the GCF of Fractions 3204/719,8712/3855 is 36/2771745
Least Common Multiple of 719,3855 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 719,3855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,3855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,3855) x common factors =1 x 1 = 1
LCM(719,3855) = ( 719 × 3855 ) / 1
LCM(719,3855) = 2771745 / 1
LCM(719,3855) = 2771745
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3204/719, 8712/3855
1. What is the HCF of 3204,8712?
The HCF of 3204,8712 is 36
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 3204/719, 8712/3855?
Answer: GCF of Numerators as per given numbers 3204/719, 8712/3855 is
GCF of Numerators i.e. for 3204,8712 is 36
LCM of denominators i.e. for 719,3855 is 2771745.
Thus, GCF of Fractions is 36/2771745.Finally, GCF of Fractions for 3204/719, 8712/3855 is 36/2771745.