GCF of 4905/145, 9912/6339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4905/145, 9912/6339 i.e 3/919155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4905/145, 9912/6339.
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 4905/145,9912/6339?
Given fractions are 4905/145,9912/6339
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 4905/145,9912/6339, numerators are 4905,9912
Denominators are 145,6339
The GCF of 4905,9912 is 3 .
LCM of 145,6339 is 919155.
The greatest common factor of 4905/145,9912/6339 = [GCF of 4905,9912]/[LCM of 145,6339]= 3/919155
Therefore, the GCF of 4905/145,9912/6339 is 3/919155.
To find the highest common factor of 4905,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
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 4905,9912 is 3.
Lets's calculate GCF of 4905,9912
| 3 | 4905, 9912 |
| 1635, 3304 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4905,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
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 4905,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 4905,9912 is 3.
Lets's calculate LCM of 145,6339
Given numbers has no common factors except 1. So, there LCM is their product i.e 919155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/919155
Therefore, the GCF of Fractions 4905/145,9912/6339 is 3/919155
Least Common Multiple of 145,6339 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 145,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,6339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,6339) x common factors =1 x 1 = 1
LCM(145,6339) = ( 145 × 6339 ) / 1
LCM(145,6339) = 919155 / 1
LCM(145,6339) = 919155
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FAQs on GCF of Fractions of 4905/145, 9912/6339
1. What is the HCF of 4905,9912?
The HCF of 4905,9912 is 3
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 4905/145, 9912/6339?
Answer: GCF of Numerators as per given numbers 4905/145, 9912/6339 is
GCF of Numerators i.e. for 4905,9912 is 3
LCM of denominators i.e. for 145,6339 is 919155.
Thus, GCF of Fractions is 3/919155.Finally, GCF of Fractions for 4905/145, 9912/6339 is 3/919155.