GCF of 3393/864, 4138/9788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3393/864, 4138/9788 i.e 1/2114208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3393/864, 4138/9788.
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 3393/864,4138/9788?
Given fractions are 3393/864,4138/9788
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 3393/864,4138/9788, numerators are 3393,4138
Denominators are 864,9788
The GCF of 3393,4138 is 1 .
LCM of 864,9788 is 2114208.
The greatest common factor of 3393/864,4138/9788 = [GCF of 3393,4138]/[LCM of 864,9788]= 1/2114208
Therefore, the GCF of 3393/864,4138/9788 is 1/2114208.
To find the highest common factor of 3393,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 3393,4138 is 1.
Lets's calculate GCF of 3393,4138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3393,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 3393
:1,3,9,13,29,39,87,117,261,377,1131,3393
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 3393,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 3393,4138 is 1.
Lets's calculate LCM of 864,9788
| 2 | 864, 9788 |
| 2 | 432, 4894 |
| 216, 2447 |
∴ So the LCM of the given numbers is 2 x 2 x 216 x 2447 = 2114208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2114208
Therefore, the GCF of Fractions 3393/864,4138/9788 is 1/2114208
Least Common Multiple of 864,9788 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 864,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,9788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(864,9788) x common factors =4 x 1 = 4
LCM(864,9788) = ( 864 × 9788 ) / 4
LCM(864,9788) = 8456832 / 4
LCM(864,9788) = 2114208
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FAQs on GCF of Fractions of 3393/864, 4138/9788
1. What is the HCF of 3393,4138?
The HCF of 3393,4138 is 1
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 3393/864, 4138/9788?
Answer: GCF of Numerators as per given numbers 3393/864, 4138/9788 is
GCF of Numerators i.e. for 3393,4138 is 1
LCM of denominators i.e. for 864,9788 is 2114208.
Thus, GCF of Fractions is 1/2114208.Finally, GCF of Fractions for 3393/864, 4138/9788 is 1/2114208.