GCF of 6363/134, 3867/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6363/134, 3867/863 i.e 3/115642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6363/134, 3867/863.
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 6363/134,3867/863?
Given fractions are 6363/134,3867/863
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 6363/134,3867/863, numerators are 6363,3867
Denominators are 134,863
The GCF of 6363,3867 is 3 .
LCM of 134,863 is 115642.
The greatest common factor of 6363/134,3867/863 = [GCF of 6363,3867]/[LCM of 134,863]= 3/115642
Therefore, the GCF of 6363/134,3867/863 is 3/115642.
To find the highest common factor of 6363,3867, 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 3867 are 1, 3, 1289, 3867
The HCF of 6363,3867 is 3.
Lets's calculate GCF of 6363,3867
| 3 | 6363, 3867 |
| 2121, 1289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6363,3867 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 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 6363,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,3867 is 3.
Lets's calculate LCM of 134,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 115642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115642
Therefore, the GCF of Fractions 6363/134,3867/863 is 3/115642
Least Common Multiple of 134,863 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 134,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,863) x common factors =1 x 1 = 1
LCM(134,863) = ( 134 × 863 ) / 1
LCM(134,863) = 115642 / 1
LCM(134,863) = 115642
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FAQs on GCF of Fractions of 6363/134, 3867/863
1. What is the HCF of 6363,3867?
The HCF of 6363,3867 is 3
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 6363/134, 3867/863?
Answer: GCF of Numerators as per given numbers 6363/134, 3867/863 is
GCF of Numerators i.e. for 6363,3867 is 3
LCM of denominators i.e. for 134,863 is 115642.
Thus, GCF of Fractions is 3/115642.Finally, GCF of Fractions for 6363/134, 3867/863 is 3/115642.