GCF of 2865/114, 3216/9045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2865/114, 3216/9045 i.e 3/343710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2865/114, 3216/9045.
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 2865/114,3216/9045?
Given fractions are 2865/114,3216/9045
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 2865/114,3216/9045, numerators are 2865,3216
Denominators are 114,9045
The GCF of 2865,3216 is 3 .
LCM of 114,9045 is 343710.
The greatest common factor of 2865/114,3216/9045 = [GCF of 2865,3216]/[LCM of 114,9045]= 3/343710
Therefore, the GCF of 2865/114,3216/9045 is 3/343710.
To find the highest common factor of 2865,3216, we have to find the factors of both numbers and list the highest common factor.
The factors of 2865 are 1, 3, 5, 15, 191, 573, 955, 2865
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The HCF of 2865,3216 is 3.
Lets's calculate GCF of 2865,3216
| 3 | 2865, 3216 |
| 955, 1072 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2865,3216 By Matching Biggest Common Factor Method
Now, list down the factors of 2865
:1,3,5,15,191,573,955,2865
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 2865,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 2865,3216 is 3.
Lets's calculate LCM of 114,9045
| 3 | 114, 9045 |
| 38, 3015 |
∴ So the LCM of the given numbers is 3 x 38 x 3015 = 343710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/343710
Therefore, the GCF of Fractions 2865/114,3216/9045 is 3/343710
Least Common Multiple of 114,9045 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 114,9045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,9045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(114,9045) x common factors =3 x 1 = 3
LCM(114,9045) = ( 114 × 9045 ) / 3
LCM(114,9045) = 1031130 / 3
LCM(114,9045) = 343710
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FAQs on GCF of Fractions of 2865/114, 3216/9045
1. What is the HCF of 2865,3216?
The HCF of 2865,3216 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 2865/114, 3216/9045?
Answer: GCF of Numerators as per given numbers 2865/114, 3216/9045 is
GCF of Numerators i.e. for 2865,3216 is 3
LCM of denominators i.e. for 114,9045 is 343710.
Thus, GCF of Fractions is 3/343710.Finally, GCF of Fractions for 2865/114, 3216/9045 is 3/343710.