GCF of 6363/588, 3798/7262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6363/588, 3798/7262 i.e 9/2135028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6363/588, 3798/7262.
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 6363/588,3798/7262?
Given fractions are 6363/588,3798/7262
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 6363/588,3798/7262, numerators are 6363,3798
Denominators are 588,7262
The GCF of 6363,3798 is 9 .
LCM of 588,7262 is 2135028.
The greatest common factor of 6363/588,3798/7262 = [GCF of 6363,3798]/[LCM of 588,7262]= 9/2135028
Therefore, the GCF of 6363/588,3798/7262 is 9/2135028.
To find the highest common factor of 6363,3798, we have to find the factors of both numbers and list the highest common factor.
The factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363
The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798
The HCF of 6363,3798 is 9.
Lets's calculate GCF of 6363,3798
| 3 | 6363, 3798 |
| 3 | 2121, 1266 |
| 707, 422 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6363,3798 By Matching Biggest Common Factor Method
Now, list down the factors of 6363
:1,3,7,9,21,63,101,303,707,909,2121,6363
Now, list down the factors of 3798
:1,2,3,6,9,18,211,422,633,1266,1899,3798
Greatest Common Factor
We found the factors 6363,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,3798 is 9.
Lets's calculate LCM of 588,7262
| 2 | 588, 7262 |
| 294, 3631 |
∴ So the LCM of the given numbers is 2 x 294 x 3631 = 2135028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2135028
Therefore, the GCF of Fractions 6363/588,3798/7262 is 9/2135028
Least Common Multiple of 588,7262 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 588,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,7262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,7262) x common factors =2 x 1 = 2
LCM(588,7262) = ( 588 × 7262 ) / 2
LCM(588,7262) = 4270056 / 2
LCM(588,7262) = 2135028
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FAQs on GCF of Fractions of 6363/588, 3798/7262
1. What is the HCF of 6363,3798?
The HCF of 6363,3798 is 9
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 6363/588, 3798/7262?
Answer: GCF of Numerators as per given numbers 6363/588, 3798/7262 is
GCF of Numerators i.e. for 6363,3798 is 9
LCM of denominators i.e. for 588,7262 is 2135028.
Thus, GCF of Fractions is 9/2135028.Finally, GCF of Fractions for 6363/588, 3798/7262 is 9/2135028.