GCF of 9039/460, 9912/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9039/460, 9912/421 i.e 3/193660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/460, 9912/421.
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 9039/460,9912/421?
Given fractions are 9039/460,9912/421
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 9039/460,9912/421, numerators are 9039,9912
Denominators are 460,421
The GCF of 9039,9912 is 3 .
LCM of 460,421 is 193660.
The greatest common factor of 9039/460,9912/421 = [GCF of 9039,9912]/[LCM of 460,421]= 3/193660
Therefore, the GCF of 9039/460,9912/421 is 3/193660.
To find the highest common factor of 9039,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039
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 9039,9912 is 3.
Lets's calculate GCF of 9039,9912
| 3 | 9039, 9912 |
| 3013, 3304 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9039,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 9039
:1,3,23,69,131,393,3013,9039
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 9039,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,9912 is 3.
Lets's calculate LCM of 460,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 193660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/193660
Therefore, the GCF of Fractions 9039/460,9912/421 is 3/193660
Least Common Multiple of 460,421 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 460,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,421) x common factors =1 x 1 = 1
LCM(460,421) = ( 460 × 421 ) / 1
LCM(460,421) = 193660 / 1
LCM(460,421) = 193660
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FAQs on GCF of Fractions of 9039/460, 9912/421
1. What is the HCF of 9039,9912?
The HCF of 9039,9912 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 9039/460, 9912/421?
Answer: GCF of Numerators as per given numbers 9039/460, 9912/421 is
GCF of Numerators i.e. for 9039,9912 is 3
LCM of denominators i.e. for 460,421 is 193660.
Thus, GCF of Fractions is 3/193660.Finally, GCF of Fractions for 9039/460, 9912/421 is 3/193660.