GCF of 3017/518, 4560/1732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3017/518, 4560/1732 i.e 1/448588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3017/518, 4560/1732.
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 3017/518,4560/1732?
Given fractions are 3017/518,4560/1732
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 3017/518,4560/1732, numerators are 3017,4560
Denominators are 518,1732
The GCF of 3017,4560 is 1 .
LCM of 518,1732 is 448588.
The greatest common factor of 3017/518,4560/1732 = [GCF of 3017,4560]/[LCM of 518,1732]= 1/448588
Therefore, the GCF of 3017/518,4560/1732 is 1/448588.
To find the highest common factor of 3017,4560, we have to find the factors of both numbers and list the highest common factor.
The factors of 3017 are 1, 7, 431, 3017
The factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560
The HCF of 3017,4560 is 1.
Lets's calculate GCF of 3017,4560
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3017,4560 By Matching Biggest Common Factor Method
Now, list down the factors of 3017
:1,7,431,3017
Now, list down the factors of 4560
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560
Greatest Common Factor
We found the factors 3017,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 3017,4560 is 1.
Lets's calculate LCM of 518,1732
| 2 | 518, 1732 |
| 259, 866 |
∴ So the LCM of the given numbers is 2 x 259 x 866 = 448588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448588
Therefore, the GCF of Fractions 3017/518,4560/1732 is 1/448588
Least Common Multiple of 518,1732 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 518,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,1732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,1732) x common factors =2 x 1 = 2
LCM(518,1732) = ( 518 × 1732 ) / 2
LCM(518,1732) = 897176 / 2
LCM(518,1732) = 448588
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FAQs on GCF of Fractions of 3017/518, 4560/1732
1. What is the HCF of 3017,4560?
The HCF of 3017,4560 is 1
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 3017/518, 4560/1732?
Answer: GCF of Numerators as per given numbers 3017/518, 4560/1732 is
GCF of Numerators i.e. for 3017,4560 is 1
LCM of denominators i.e. for 518,1732 is 448588.
Thus, GCF of Fractions is 1/448588.Finally, GCF of Fractions for 3017/518, 4560/1732 is 1/448588.