GCF of 8909/486, 9912/6767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8909/486, 9912/6767 i.e 59/3288762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8909/486, 9912/6767.
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 8909/486,9912/6767?
Given fractions are 8909/486,9912/6767
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 8909/486,9912/6767, numerators are 8909,9912
Denominators are 486,6767
The GCF of 8909,9912 is 59 .
LCM of 486,6767 is 3288762.
The greatest common factor of 8909/486,9912/6767 = [GCF of 8909,9912]/[LCM of 486,6767]= 59/3288762
Therefore, the GCF of 8909/486,9912/6767 is 59/3288762.
To find the highest common factor of 8909,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 8909 are 1, 59, 151, 8909
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 HCF of 8909,9912 is 59.
Lets's calculate GCF of 8909,9912
| 59 | 8909, 9912 |
| 151, 168 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 8909,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 8909
:1,59,151,8909
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
Greatest Common Factor
We found the factors 8909,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 8909,9912 is 59.
Lets's calculate LCM of 486,6767
Given numbers has no common factors except 1. So, there LCM is their product i.e 3288762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/3288762
Therefore, the GCF of Fractions 8909/486,9912/6767 is 59/3288762
Least Common Multiple of 486,6767 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 486,6767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,6767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,6767) x common factors =1 x 1 = 1
LCM(486,6767) = ( 486 × 6767 ) / 1
LCM(486,6767) = 3288762 / 1
LCM(486,6767) = 3288762
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FAQs on GCF of Fractions of 8909/486, 9912/6767
1. What is the HCF of 8909,9912?
The HCF of 8909,9912 is 59
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 8909/486, 9912/6767?
Answer: GCF of Numerators as per given numbers 8909/486, 9912/6767 is
GCF of Numerators i.e. for 8909,9912 is 59
LCM of denominators i.e. for 486,6767 is 3288762.
Thus, GCF of Fractions is 59/3288762.Finally, GCF of Fractions for 8909/486, 9912/6767 is 59/3288762.