GCF of 7104/285, 3906/1517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7104/285, 3906/1517 i.e 6/432345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7104/285, 3906/1517.
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 7104/285,3906/1517?
Given fractions are 7104/285,3906/1517
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 7104/285,3906/1517, numerators are 7104,3906
Denominators are 285,1517
The GCF of 7104,3906 is 6 .
LCM of 285,1517 is 432345.
The greatest common factor of 7104/285,3906/1517 = [GCF of 7104,3906]/[LCM of 285,1517]= 6/432345
Therefore, the GCF of 7104/285,3906/1517 is 6/432345.
To find the highest common factor of 7104,3906, 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 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The HCF of 7104,3906 is 6.
Lets's calculate GCF of 7104,3906
| 2 | 7104, 3906 |
| 3 | 3552, 1953 |
| 1184, 651 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7104,3906 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 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Greatest Common Factor
We found the factors 7104,3906 . The biggest common factor number is the GCF number.
So the greatest common factor 7104,3906 is 6.
Lets's calculate LCM of 285,1517
Given numbers has no common factors except 1. So, there LCM is their product i.e 432345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/432345
Therefore, the GCF of Fractions 7104/285,3906/1517 is 6/432345
Least Common Multiple of 285,1517 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 285,1517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,1517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,1517) x common factors =1 x 1 = 1
LCM(285,1517) = ( 285 × 1517 ) / 1
LCM(285,1517) = 432345 / 1
LCM(285,1517) = 432345
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FAQs on GCF of Fractions of 7104/285, 3906/1517
1. What is the HCF of 7104,3906?
The HCF of 7104,3906 is 6
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 7104/285, 3906/1517?
Answer: GCF of Numerators as per given numbers 7104/285, 3906/1517 is
GCF of Numerators i.e. for 7104,3906 is 6
LCM of denominators i.e. for 285,1517 is 432345.
Thus, GCF of Fractions is 6/432345.Finally, GCF of Fractions for 7104/285, 3906/1517 is 6/432345.