GCF of 2865/586, 8655/9178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2865/586, 8655/9178 i.e 15/2689154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2865/586, 8655/9178.
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 2865/586,8655/9178?
Given fractions are 2865/586,8655/9178
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 2865/586,8655/9178, numerators are 2865,8655
Denominators are 586,9178
The GCF of 2865,8655 is 15 .
LCM of 586,9178 is 2689154.
The greatest common factor of 2865/586,8655/9178 = [GCF of 2865,8655]/[LCM of 586,9178]= 15/2689154
Therefore, the GCF of 2865/586,8655/9178 is 15/2689154.
To find the highest common factor of 2865,8655, 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 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655
The HCF of 2865,8655 is 15.
Lets's calculate GCF of 2865,8655
| 3 | 2865, 8655 |
| 5 | 955, 2885 |
| 191, 577 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2865,8655 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 8655
:1,3,5,15,577,1731,2885,8655
Greatest Common Factor
We found the factors 2865,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 2865,8655 is 15.
Lets's calculate LCM of 586,9178
| 2 | 586, 9178 |
| 293, 4589 |
∴ So the LCM of the given numbers is 2 x 293 x 4589 = 2689154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2689154
Therefore, the GCF of Fractions 2865/586,8655/9178 is 15/2689154
Least Common Multiple of 586,9178 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 586,9178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,9178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,9178) x common factors =2 x 1 = 2
LCM(586,9178) = ( 586 × 9178 ) / 2
LCM(586,9178) = 5378308 / 2
LCM(586,9178) = 2689154
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2865/586, 8655/9178
1. What is the HCF of 2865,8655?
The HCF of 2865,8655 is 15
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 2865/586, 8655/9178?
Answer: GCF of Numerators as per given numbers 2865/586, 8655/9178 is
GCF of Numerators i.e. for 2865,8655 is 15
LCM of denominators i.e. for 586,9178 is 2689154.
Thus, GCF of Fractions is 15/2689154.Finally, GCF of Fractions for 2865/586, 8655/9178 is 15/2689154.