GCF of 2238/202, 1638/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2238/202, 1638/2816 i.e 6/284416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2238/202, 1638/2816.
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 2238/202,1638/2816?
Given fractions are 2238/202,1638/2816
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 2238/202,1638/2816, numerators are 2238,1638
Denominators are 202,2816
The GCF of 2238,1638 is 6 .
LCM of 202,2816 is 284416.
The greatest common factor of 2238/202,1638/2816 = [GCF of 2238,1638]/[LCM of 202,2816]= 6/284416
Therefore, the GCF of 2238/202,1638/2816 is 6/284416.
To find the highest common factor of 2238,1638, we have to find the factors of both numbers and list the highest common factor.
The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238
The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
The HCF of 2238,1638 is 6.
Lets's calculate GCF of 2238,1638
| 2 | 2238, 1638 |
| 3 | 1119, 819 |
| 373, 273 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2238,1638 By Matching Biggest Common Factor Method
Now, list down the factors of 2238
:1,2,3,6,373,746,1119,2238
Now, list down the factors of 1638
:1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Greatest Common Factor
We found the factors 2238,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 2238,1638 is 6.
Lets's calculate LCM of 202,2816
| 2 | 202, 2816 |
| 101, 1408 |
∴ So the LCM of the given numbers is 2 x 101 x 1408 = 284416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/284416
Therefore, the GCF of Fractions 2238/202,1638/2816 is 6/284416
Least Common Multiple of 202,2816 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 202,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,2816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,2816) x common factors =2 x 1 = 2
LCM(202,2816) = ( 202 × 2816 ) / 2
LCM(202,2816) = 568832 / 2
LCM(202,2816) = 284416
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FAQs on GCF of Fractions of 2238/202, 1638/2816
1. What is the HCF of 2238,1638?
The HCF of 2238,1638 is 6
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 2238/202, 1638/2816?
Answer: GCF of Numerators as per given numbers 2238/202, 1638/2816 is
GCF of Numerators i.e. for 2238,1638 is 6
LCM of denominators i.e. for 202,2816 is 284416.
Thus, GCF of Fractions is 6/284416.Finally, GCF of Fractions for 2238/202, 1638/2816 is 6/284416.