GCF of 2464/261, 1815/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2464/261, 1815/458 i.e 11/119538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2464/261, 1815/458.
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 2464/261,1815/458?
Given fractions are 2464/261,1815/458
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 2464/261,1815/458, numerators are 2464,1815
Denominators are 261,458
The GCF of 2464,1815 is 11 .
LCM of 261,458 is 119538.
The greatest common factor of 2464/261,1815/458 = [GCF of 2464,1815]/[LCM of 261,458]= 11/119538
Therefore, the GCF of 2464/261,1815/458 is 11/119538.
To find the highest common factor of 2464,1815, we have to find the factors of both numbers and list the highest common factor.
The factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464
The factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The HCF of 2464,1815 is 11.
Lets's calculate GCF of 2464,1815
| 11 | 2464, 1815 |
| 224, 165 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2464,1815 By Matching Biggest Common Factor Method
Now, list down the factors of 2464
:1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Now, list down the factors of 1815
:1,3,5,11,15,33,55,121,165,363,605,1815
Greatest Common Factor
We found the factors 2464,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 2464,1815 is 11.
Lets's calculate LCM of 261,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 119538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/119538
Therefore, the GCF of Fractions 2464/261,1815/458 is 11/119538
Least Common Multiple of 261,458 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 261,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,458) x common factors =1 x 1 = 1
LCM(261,458) = ( 261 × 458 ) / 1
LCM(261,458) = 119538 / 1
LCM(261,458) = 119538
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FAQs on GCF of Fractions of 2464/261, 1815/458
1. What is the HCF of 2464,1815?
The HCF of 2464,1815 is 11
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 2464/261, 1815/458?
Answer: GCF of Numerators as per given numbers 2464/261, 1815/458 is
GCF of Numerators i.e. for 2464,1815 is 11
LCM of denominators i.e. for 261,458 is 119538.
Thus, GCF of Fractions is 11/119538.Finally, GCF of Fractions for 2464/261, 1815/458 is 11/119538.