GCF of 1197/226, 5890/3893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1197/226, 5890/3893 i.e 19/879818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1197/226, 5890/3893.
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 1197/226,5890/3893?
Given fractions are 1197/226,5890/3893
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 1197/226,5890/3893, numerators are 1197,5890
Denominators are 226,3893
The GCF of 1197,5890 is 19 .
LCM of 226,3893 is 879818.
The greatest common factor of 1197/226,5890/3893 = [GCF of 1197,5890]/[LCM of 226,3893]= 19/879818
Therefore, the GCF of 1197/226,5890/3893 is 19/879818.
To find the highest common factor of 1197,5890, we have to find the factors of both numbers and list the highest common factor.
The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The HCF of 1197,5890 is 19.
Lets's calculate GCF of 1197,5890
| 19 | 1197, 5890 |
| 63, 310 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1197,5890 By Matching Biggest Common Factor Method
Now, list down the factors of 1197
:1,3,7,9,19,21,57,63,133,171,399,1197
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Greatest Common Factor
We found the factors 1197,5890 . The biggest common factor number is the GCF number.
So the greatest common factor 1197,5890 is 19.
Lets's calculate LCM of 226,3893
Given numbers has no common factors except 1. So, there LCM is their product i.e 879818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/879818
Therefore, the GCF of Fractions 1197/226,5890/3893 is 19/879818
Least Common Multiple of 226,3893 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 226,3893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,3893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,3893) x common factors =1 x 1 = 1
LCM(226,3893) = ( 226 × 3893 ) / 1
LCM(226,3893) = 879818 / 1
LCM(226,3893) = 879818
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FAQs on GCF of Fractions of 1197/226, 5890/3893
1. What is the HCF of 1197,5890?
The HCF of 1197,5890 is 19
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 1197/226, 5890/3893?
Answer: GCF of Numerators as per given numbers 1197/226, 5890/3893 is
GCF of Numerators i.e. for 1197,5890 is 19
LCM of denominators i.e. for 226,3893 is 879818.
Thus, GCF of Fractions is 19/879818.Finally, GCF of Fractions for 1197/226, 5890/3893 is 19/879818.