GCF of 6310/391, 3665/8943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6310/391, 3665/8943 i.e 5/3496713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6310/391, 3665/8943.
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 6310/391,3665/8943?
Given fractions are 6310/391,3665/8943
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 6310/391,3665/8943, numerators are 6310,3665
Denominators are 391,8943
The GCF of 6310,3665 is 5 .
LCM of 391,8943 is 3496713.
The greatest common factor of 6310/391,3665/8943 = [GCF of 6310,3665]/[LCM of 391,8943]= 5/3496713
Therefore, the GCF of 6310/391,3665/8943 is 5/3496713.
To find the highest common factor of 6310,3665, we have to find the factors of both numbers and list the highest common factor.
The factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310
The factors of 3665 are 1, 5, 733, 3665
The HCF of 6310,3665 is 5.
Lets's calculate GCF of 6310,3665
| 5 | 6310, 3665 |
| 1262, 733 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6310,3665 By Matching Biggest Common Factor Method
Now, list down the factors of 6310
:1,2,5,10,631,1262,3155,6310
Now, list down the factors of 3665
:1,5,733,3665
Greatest Common Factor
We found the factors 6310,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 6310,3665 is 5.
Lets's calculate LCM of 391,8943
Given numbers has no common factors except 1. So, there LCM is their product i.e 3496713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3496713
Therefore, the GCF of Fractions 6310/391,3665/8943 is 5/3496713
Least Common Multiple of 391,8943 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 391,8943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,8943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,8943) x common factors =1 x 1 = 1
LCM(391,8943) = ( 391 × 8943 ) / 1
LCM(391,8943) = 3496713 / 1
LCM(391,8943) = 3496713
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FAQs on GCF of Fractions of 6310/391, 3665/8943
1. What is the HCF of 6310,3665?
The HCF of 6310,3665 is 5
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 6310/391, 3665/8943?
Answer: GCF of Numerators as per given numbers 6310/391, 3665/8943 is
GCF of Numerators i.e. for 6310,3665 is 5
LCM of denominators i.e. for 391,8943 is 3496713.
Thus, GCF of Fractions is 5/3496713.Finally, GCF of Fractions for 6310/391, 3665/8943 is 5/3496713.