GCF of 1828/424, 9148/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1828/424, 9148/513 i.e 4/217512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1828/424, 9148/513.
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 1828/424,9148/513?
Given fractions are 1828/424,9148/513
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 1828/424,9148/513, numerators are 1828,9148
Denominators are 424,513
The GCF of 1828,9148 is 4 .
LCM of 424,513 is 217512.
The greatest common factor of 1828/424,9148/513 = [GCF of 1828,9148]/[LCM of 424,513]= 4/217512
Therefore, the GCF of 1828/424,9148/513 is 4/217512.
To find the highest common factor of 1828,9148, we have to find the factors of both numbers and list the highest common factor.
The factors of 1828 are 1, 2, 4, 457, 914, 1828
The factors of 9148 are 1, 2, 4, 2287, 4574, 9148
The HCF of 1828,9148 is 4.
Lets's calculate GCF of 1828,9148
| 2 | 1828, 9148 |
| 2 | 914, 4574 |
| 457, 2287 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1828,9148 By Matching Biggest Common Factor Method
Now, list down the factors of 1828
:1,2,4,457,914,1828
Now, list down the factors of 9148
:1,2,4,2287,4574,9148
Greatest Common Factor
We found the factors 1828,9148 . The biggest common factor number is the GCF number.
So the greatest common factor 1828,9148 is 4.
Lets's calculate LCM of 424,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 217512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/217512
Therefore, the GCF of Fractions 1828/424,9148/513 is 4/217512
Least Common Multiple of 424,513 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 424,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,513) x common factors =1 x 1 = 1
LCM(424,513) = ( 424 × 513 ) / 1
LCM(424,513) = 217512 / 1
LCM(424,513) = 217512
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FAQs on GCF of Fractions of 1828/424, 9148/513
1. What is the HCF of 1828,9148?
The HCF of 1828,9148 is 4
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 1828/424, 9148/513?
Answer: GCF of Numerators as per given numbers 1828/424, 9148/513 is
GCF of Numerators i.e. for 1828,9148 is 4
LCM of denominators i.e. for 424,513 is 217512.
Thus, GCF of Fractions is 4/217512.Finally, GCF of Fractions for 1828/424, 9148/513 is 4/217512.