GCF of 3315/628, 8529/1632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3315/628, 8529/1632 i.e 3/256224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3315/628, 8529/1632.
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 3315/628,8529/1632?
Given fractions are 3315/628,8529/1632
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 3315/628,8529/1632, numerators are 3315,8529
Denominators are 628,1632
The GCF of 3315,8529 is 3 .
LCM of 628,1632 is 256224.
The greatest common factor of 3315/628,8529/1632 = [GCF of 3315,8529]/[LCM of 628,1632]= 3/256224
Therefore, the GCF of 3315/628,8529/1632 is 3/256224.
To find the highest common factor of 3315,8529, we have to find the factors of both numbers and list the highest common factor.
The factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315
The factors of 8529 are 1, 3, 2843, 8529
The HCF of 3315,8529 is 3.
Lets's calculate GCF of 3315,8529
| 3 | 3315, 8529 |
| 1105, 2843 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3315,8529 By Matching Biggest Common Factor Method
Now, list down the factors of 3315
:1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315
Now, list down the factors of 8529
:1,3,2843,8529
Greatest Common Factor
We found the factors 3315,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 3315,8529 is 3.
Lets's calculate LCM of 628,1632
| 2 | 628, 1632 |
| 2 | 314, 816 |
| 157, 408 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 408 = 256224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/256224
Therefore, the GCF of Fractions 3315/628,8529/1632 is 3/256224
Least Common Multiple of 628,1632 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 628,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,1632) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,1632) x common factors =4 x 1 = 4
LCM(628,1632) = ( 628 × 1632 ) / 4
LCM(628,1632) = 1024896 / 4
LCM(628,1632) = 256224
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FAQs on GCF of Fractions of 3315/628, 8529/1632
1. What is the HCF of 3315,8529?
The HCF of 3315,8529 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 3315/628, 8529/1632?
Answer: GCF of Numerators as per given numbers 3315/628, 8529/1632 is
GCF of Numerators i.e. for 3315,8529 is 3
LCM of denominators i.e. for 628,1632 is 256224.
Thus, GCF of Fractions is 3/256224.Finally, GCF of Fractions for 3315/628, 8529/1632 is 3/256224.