GCF of 6565/827, 3712/7105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6565/827, 3712/7105 i.e 1/5875835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6565/827, 3712/7105.
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 6565/827,3712/7105?
Given fractions are 6565/827,3712/7105
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 6565/827,3712/7105, numerators are 6565,3712
Denominators are 827,7105
The GCF of 6565,3712 is 1 .
LCM of 827,7105 is 5875835.
The greatest common factor of 6565/827,3712/7105 = [GCF of 6565,3712]/[LCM of 827,7105]= 1/5875835
Therefore, the GCF of 6565/827,3712/7105 is 1/5875835.
To find the highest common factor of 6565,3712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The HCF of 6565,3712 is 1.
Lets's calculate GCF of 6565,3712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6565,3712 By Matching Biggest Common Factor Method
Now, list down the factors of 6565
:1,5,13,65,101,505,1313,6565
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors 6565,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 6565,3712 is 1.
Lets's calculate LCM of 827,7105
Given numbers has no common factors except 1. So, there LCM is their product i.e 5875835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5875835
Therefore, the GCF of Fractions 6565/827,3712/7105 is 1/5875835
Least Common Multiple of 827,7105 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 827,7105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,7105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,7105) x common factors =1 x 1 = 1
LCM(827,7105) = ( 827 × 7105 ) / 1
LCM(827,7105) = 5875835 / 1
LCM(827,7105) = 5875835
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6565/827, 3712/7105
1. What is the HCF of 6565,3712?
The HCF of 6565,3712 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 6565/827, 3712/7105?
Answer: GCF of Numerators as per given numbers 6565/827, 3712/7105 is
GCF of Numerators i.e. for 6565,3712 is 1
LCM of denominators i.e. for 827,7105 is 5875835.
Thus, GCF of Fractions is 1/5875835.Finally, GCF of Fractions for 6565/827, 3712/7105 is 1/5875835.