GCF of 6305/650, 7865/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6305/650, 7865/103 i.e 65/66950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/650, 7865/103.
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 6305/650,7865/103?
Given fractions are 6305/650,7865/103
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 6305/650,7865/103, numerators are 6305,7865
Denominators are 650,103
The GCF of 6305,7865 is 65 .
LCM of 650,103 is 66950.
The greatest common factor of 6305/650,7865/103 = [GCF of 6305,7865]/[LCM of 650,103]= 65/66950
Therefore, the GCF of 6305/650,7865/103 is 65/66950.
To find the highest common factor of 6305,7865, we have to find the factors of both numbers and list the highest common factor.
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865
The HCF of 6305,7865 is 65.
Lets's calculate GCF of 6305,7865
| 5 | 6305, 7865 |
| 13 | 1261, 1573 |
| 97, 121 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 6305,7865 By Matching Biggest Common Factor Method
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Now, list down the factors of 7865
:1,5,11,13,55,65,121,143,605,715,1573,7865
Greatest Common Factor
We found the factors 6305,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,7865 is 65.
Lets's calculate LCM of 650,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 66950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/66950
Therefore, the GCF of Fractions 6305/650,7865/103 is 65/66950
Least Common Multiple of 650,103 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 650,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,103) x common factors =1 x 1 = 1
LCM(650,103) = ( 650 × 103 ) / 1
LCM(650,103) = 66950 / 1
LCM(650,103) = 66950
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FAQs on GCF of Fractions of 6305/650, 7865/103
1. What is the HCF of 6305,7865?
The HCF of 6305,7865 is 65
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 6305/650, 7865/103?
Answer: GCF of Numerators as per given numbers 6305/650, 7865/103 is
GCF of Numerators i.e. for 6305,7865 is 65
LCM of denominators i.e. for 650,103 is 66950.
Thus, GCF of Fractions is 65/66950.Finally, GCF of Fractions for 6305/650, 7865/103 is 65/66950.