GCF of 1830/264, 2852/4399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1830/264, 2852/4399 i.e 2/1161336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1830/264, 2852/4399.
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 1830/264,2852/4399?
Given fractions are 1830/264,2852/4399
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 1830/264,2852/4399, numerators are 1830,2852
Denominators are 264,4399
The GCF of 1830,2852 is 2 .
LCM of 264,4399 is 1161336.
The greatest common factor of 1830/264,2852/4399 = [GCF of 1830,2852]/[LCM of 264,4399]= 2/1161336
Therefore, the GCF of 1830/264,2852/4399 is 2/1161336.
To find the highest common factor of 1830,2852, we have to find the factors of both numbers and list the highest common factor.
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852
The HCF of 1830,2852 is 2.
Lets's calculate GCF of 1830,2852
| 2 | 1830, 2852 |
| 915, 1426 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1830,2852 By Matching Biggest Common Factor Method
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Now, list down the factors of 2852
:1,2,4,23,31,46,62,92,124,713,1426,2852
Greatest Common Factor
We found the factors 1830,2852 . The biggest common factor number is the GCF number.
So the greatest common factor 1830,2852 is 2.
Lets's calculate LCM of 264,4399
Given numbers has no common factors except 1. So, there LCM is their product i.e 1161336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1161336
Therefore, the GCF of Fractions 1830/264,2852/4399 is 2/1161336
Least Common Multiple of 264,4399 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 264,4399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,4399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,4399) x common factors =1 x 1 = 1
LCM(264,4399) = ( 264 × 4399 ) / 1
LCM(264,4399) = 1161336 / 1
LCM(264,4399) = 1161336
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FAQs on GCF of Fractions of 1830/264, 2852/4399
1. What is the HCF of 1830,2852?
The HCF of 1830,2852 is 2
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 1830/264, 2852/4399?
Answer: GCF of Numerators as per given numbers 1830/264, 2852/4399 is
GCF of Numerators i.e. for 1830,2852 is 2
LCM of denominators i.e. for 264,4399 is 1161336.
Thus, GCF of Fractions is 2/1161336.Finally, GCF of Fractions for 1830/264, 2852/4399 is 2/1161336.