GCF of 8515/286, 3144/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8515/286, 3144/732 i.e 131/104676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8515/286, 3144/732.
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 8515/286,3144/732?
Given fractions are 8515/286,3144/732
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 8515/286,3144/732, numerators are 8515,3144
Denominators are 286,732
The GCF of 8515,3144 is 131 .
LCM of 286,732 is 104676.
The greatest common factor of 8515/286,3144/732 = [GCF of 8515,3144]/[LCM of 286,732]= 131/104676
Therefore, the GCF of 8515/286,3144/732 is 131/104676.
To find the highest common factor of 8515,3144, we have to find the factors of both numbers and list the highest common factor.
The factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515
The factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144
The HCF of 8515,3144 is 131.
Lets's calculate GCF of 8515,3144
| 131 | 8515, 3144 |
| 65, 24 |
∴ So the GCF of the given numbers is 131 = 131
Greatest Common Factor of 8515,3144 By Matching Biggest Common Factor Method
Now, list down the factors of 8515
:1,5,13,65,131,655,1703,8515
Now, list down the factors of 3144
:1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Greatest Common Factor
We found the factors 8515,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 8515,3144 is 131.
Lets's calculate LCM of 286,732
| 2 | 286, 732 |
| 143, 366 |
∴ So the LCM of the given numbers is 2 x 143 x 366 = 104676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/104676
Therefore, the GCF of Fractions 8515/286,3144/732 is 131/104676
Least Common Multiple of 286,732 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 286,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,732) x common factors =2 x 1 = 2
LCM(286,732) = ( 286 × 732 ) / 2
LCM(286,732) = 209352 / 2
LCM(286,732) = 104676
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FAQs on GCF of Fractions of 8515/286, 3144/732
1. What is the HCF of 8515,3144?
The HCF of 8515,3144 is 131
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 8515/286, 3144/732?
Answer: GCF of Numerators as per given numbers 8515/286, 3144/732 is
GCF of Numerators i.e. for 8515,3144 is 131
LCM of denominators i.e. for 286,732 is 104676.
Thus, GCF of Fractions is 131/104676.Finally, GCF of Fractions for 8515/286, 3144/732 is 131/104676.