GCF of 9912/128, 8940/5993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9912/128, 8940/5993 i.e 12/767104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9912/128, 8940/5993.
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 9912/128,8940/5993?
Given fractions are 9912/128,8940/5993
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 9912/128,8940/5993, numerators are 9912,8940
Denominators are 128,5993
The GCF of 9912,8940 is 12 .
LCM of 128,5993 is 767104.
The greatest common factor of 9912/128,8940/5993 = [GCF of 9912,8940]/[LCM of 128,5993]= 12/767104
Therefore, the GCF of 9912/128,8940/5993 is 12/767104.
To find the highest common factor of 9912,8940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The HCF of 9912,8940 is 12.
Lets's calculate GCF of 9912,8940
| 2 | 9912, 8940 |
| 2 | 4956, 4470 |
| 3 | 2478, 2235 |
| 826, 745 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9912,8940 By Matching Biggest Common Factor Method
Now, list down the factors of 9912
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Greatest Common Factor
We found the factors 9912,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 9912,8940 is 12.
Lets's calculate LCM of 128,5993
Given numbers has no common factors except 1. So, there LCM is their product i.e 767104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/767104
Therefore, the GCF of Fractions 9912/128,8940/5993 is 12/767104
Least Common Multiple of 128,5993 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 128,5993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,5993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,5993) x common factors =1 x 1 = 1
LCM(128,5993) = ( 128 × 5993 ) / 1
LCM(128,5993) = 767104 / 1
LCM(128,5993) = 767104
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FAQs on GCF of Fractions of 9912/128, 8940/5993
1. What is the HCF of 9912,8940?
The HCF of 9912,8940 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 9912/128, 8940/5993?
Answer: GCF of Numerators as per given numbers 9912/128, 8940/5993 is
GCF of Numerators i.e. for 9912,8940 is 12
LCM of denominators i.e. for 128,5993 is 767104.
Thus, GCF of Fractions is 12/767104.Finally, GCF of Fractions for 9912/128, 8940/5993 is 12/767104.