GCF of 5328/931, 8148/9195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5328/931, 8148/9195 i.e 12/8560545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5328/931, 8148/9195.
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 5328/931,8148/9195?
Given fractions are 5328/931,8148/9195
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 5328/931,8148/9195, numerators are 5328,8148
Denominators are 931,9195
The GCF of 5328,8148 is 12 .
LCM of 931,9195 is 8560545.
The greatest common factor of 5328/931,8148/9195 = [GCF of 5328,8148]/[LCM of 931,9195]= 12/8560545
Therefore, the GCF of 5328/931,8148/9195 is 12/8560545.
To find the highest common factor of 5328,8148, we have to find the factors of both numbers and list the highest common factor.
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
The factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148
The HCF of 5328,8148 is 12.
Lets's calculate GCF of 5328,8148
| 2 | 5328, 8148 |
| 2 | 2664, 4074 |
| 3 | 1332, 2037 |
| 444, 679 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5328,8148 By Matching Biggest Common Factor Method
Now, list down the factors of 5328
:1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Now, list down the factors of 8148
:1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors 5328,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,8148 is 12.
Lets's calculate LCM of 931,9195
Given numbers has no common factors except 1. So, there LCM is their product i.e 8560545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8560545
Therefore, the GCF of Fractions 5328/931,8148/9195 is 12/8560545
Least Common Multiple of 931,9195 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 931,9195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,9195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,9195) x common factors =1 x 1 = 1
LCM(931,9195) = ( 931 × 9195 ) / 1
LCM(931,9195) = 8560545 / 1
LCM(931,9195) = 8560545
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5328/931, 8148/9195
1. What is the HCF of 5328,8148?
The HCF of 5328,8148 is 12
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 5328/931, 8148/9195?
Answer: GCF of Numerators as per given numbers 5328/931, 8148/9195 is
GCF of Numerators i.e. for 5328,8148 is 12
LCM of denominators i.e. for 931,9195 is 8560545.
Thus, GCF of Fractions is 12/8560545.Finally, GCF of Fractions for 5328/931, 8148/9195 is 12/8560545.