GCF of 7104/805, 1468/3671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7104/805, 1468/3671 i.e 4/2955155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7104/805, 1468/3671.
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 7104/805,1468/3671?
Given fractions are 7104/805,1468/3671
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 7104/805,1468/3671, numerators are 7104,1468
Denominators are 805,3671
The GCF of 7104,1468 is 4 .
LCM of 805,3671 is 2955155.
The greatest common factor of 7104/805,1468/3671 = [GCF of 7104,1468]/[LCM of 805,3671]= 4/2955155
Therefore, the GCF of 7104/805,1468/3671 is 4/2955155.
To find the highest common factor of 7104,1468, we have to find the factors of both numbers and list the highest common factor.
The factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104
The factors of 1468 are 1, 2, 4, 367, 734, 1468
The HCF of 7104,1468 is 4.
Lets's calculate GCF of 7104,1468
| 2 | 7104, 1468 |
| 2 | 3552, 734 |
| 1776, 367 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7104,1468 By Matching Biggest Common Factor Method
Now, list down the factors of 7104
:1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104
Now, list down the factors of 1468
:1,2,4,367,734,1468
Greatest Common Factor
We found the factors 7104,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 7104,1468 is 4.
Lets's calculate LCM of 805,3671
Given numbers has no common factors except 1. So, there LCM is their product i.e 2955155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2955155
Therefore, the GCF of Fractions 7104/805,1468/3671 is 4/2955155
Least Common Multiple of 805,3671 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 805,3671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,3671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,3671) x common factors =1 x 1 = 1
LCM(805,3671) = ( 805 × 3671 ) / 1
LCM(805,3671) = 2955155 / 1
LCM(805,3671) = 2955155
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FAQs on GCF of Fractions of 7104/805, 1468/3671
1. What is the HCF of 7104,1468?
The HCF of 7104,1468 is 4
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 7104/805, 1468/3671?
Answer: GCF of Numerators as per given numbers 7104/805, 1468/3671 is
GCF of Numerators i.e. for 7104,1468 is 4
LCM of denominators i.e. for 805,3671 is 2955155.
Thus, GCF of Fractions is 4/2955155.Finally, GCF of Fractions for 7104/805, 1468/3671 is 4/2955155.