GCF of 8712/993, 9804/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8712/993, 9804/404 i.e 12/401172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8712/993, 9804/404.
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 8712/993,9804/404?
Given fractions are 8712/993,9804/404
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 8712/993,9804/404, numerators are 8712,9804
Denominators are 993,404
The GCF of 8712,9804 is 12 .
LCM of 993,404 is 401172.
The greatest common factor of 8712/993,9804/404 = [GCF of 8712,9804]/[LCM of 993,404]= 12/401172
Therefore, the GCF of 8712/993,9804/404 is 12/401172.
To find the highest common factor of 8712,9804, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The HCF of 8712,9804 is 12.
Lets's calculate GCF of 8712,9804
| 2 | 8712, 9804 |
| 2 | 4356, 4902 |
| 3 | 2178, 2451 |
| 726, 817 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8712,9804 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 8712,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 8712,9804 is 12.
Lets's calculate LCM of 993,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 401172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/401172
Therefore, the GCF of Fractions 8712/993,9804/404 is 12/401172
Least Common Multiple of 993,404 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 993,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,404) x common factors =1 x 1 = 1
LCM(993,404) = ( 993 × 404 ) / 1
LCM(993,404) = 401172 / 1
LCM(993,404) = 401172
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FAQs on GCF of Fractions of 8712/993, 9804/404
1. What is the HCF of 8712,9804?
The HCF of 8712,9804 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 8712/993, 9804/404?
Answer: GCF of Numerators as per given numbers 8712/993, 9804/404 is
GCF of Numerators i.e. for 8712,9804 is 12
LCM of denominators i.e. for 993,404 is 401172.
Thus, GCF of Fractions is 12/401172.Finally, GCF of Fractions for 8712/993, 9804/404 is 12/401172.