GCF of 1848/526, 2163/4994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1848/526, 2163/4994 i.e 21/1313422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1848/526, 2163/4994.
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 1848/526,2163/4994?
Given fractions are 1848/526,2163/4994
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 1848/526,2163/4994, numerators are 1848,2163
Denominators are 526,4994
The GCF of 1848,2163 is 21 .
LCM of 526,4994 is 1313422.
The greatest common factor of 1848/526,2163/4994 = [GCF of 1848,2163]/[LCM of 526,4994]= 21/1313422
Therefore, the GCF of 1848/526,2163/4994 is 21/1313422.
To find the highest common factor of 1848,2163, we have to find the factors of both numbers and list the highest common factor.
The factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848
The factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163
The HCF of 1848,2163 is 21.
Lets's calculate GCF of 1848,2163
| 3 | 1848, 2163 |
| 7 | 616, 721 |
| 88, 103 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 1848,2163 By Matching Biggest Common Factor Method
Now, list down the factors of 1848
:1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848
Now, list down the factors of 2163
:1,3,7,21,103,309,721,2163
Greatest Common Factor
We found the factors 1848,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 1848,2163 is 21.
Lets's calculate LCM of 526,4994
| 2 | 526, 4994 |
| 263, 2497 |
∴ So the LCM of the given numbers is 2 x 263 x 2497 = 1313422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1313422
Therefore, the GCF of Fractions 1848/526,2163/4994 is 21/1313422
Least Common Multiple of 526,4994 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 526,4994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,4994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,4994) x common factors =2 x 1 = 2
LCM(526,4994) = ( 526 × 4994 ) / 2
LCM(526,4994) = 2626844 / 2
LCM(526,4994) = 1313422
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FAQs on GCF of Fractions of 1848/526, 2163/4994
1. What is the HCF of 1848,2163?
The HCF of 1848,2163 is 21
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 1848/526, 2163/4994?
Answer: GCF of Numerators as per given numbers 1848/526, 2163/4994 is
GCF of Numerators i.e. for 1848,2163 is 21
LCM of denominators i.e. for 526,4994 is 1313422.
Thus, GCF of Fractions is 21/1313422.Finally, GCF of Fractions for 1848/526, 2163/4994 is 21/1313422.