GCF of 7505/721, 6466/645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7505/721, 6466/645 i.e 1/465045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7505/721, 6466/645.
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 7505/721,6466/645?
Given fractions are 7505/721,6466/645
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 7505/721,6466/645, numerators are 7505,6466
Denominators are 721,645
The GCF of 7505,6466 is 1 .
LCM of 721,645 is 465045.
The greatest common factor of 7505/721,6466/645 = [GCF of 7505,6466]/[LCM of 721,645]= 1/465045
Therefore, the GCF of 7505/721,6466/645 is 1/465045.
To find the highest common factor of 7505,6466, we have to find the factors of both numbers and list the highest common factor.
The factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505
The factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466
The HCF of 7505,6466 is 1.
Lets's calculate GCF of 7505,6466
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7505,6466 By Matching Biggest Common Factor Method
Now, list down the factors of 7505
:1,5,19,79,95,395,1501,7505
Now, list down the factors of 6466
:1,2,53,61,106,122,3233,6466
Greatest Common Factor
We found the factors 7505,6466 . The biggest common factor number is the GCF number.
So the greatest common factor 7505,6466 is 1.
Lets's calculate LCM of 721,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 465045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465045
Therefore, the GCF of Fractions 7505/721,6466/645 is 1/465045
Least Common Multiple of 721,645 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 721,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,645) x common factors =1 x 1 = 1
LCM(721,645) = ( 721 × 645 ) / 1
LCM(721,645) = 465045 / 1
LCM(721,645) = 465045
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FAQs on GCF of Fractions of 7505/721, 6466/645
1. What is the HCF of 7505,6466?
The HCF of 7505,6466 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 7505/721, 6466/645?
Answer: GCF of Numerators as per given numbers 7505/721, 6466/645 is
GCF of Numerators i.e. for 7505,6466 is 1
LCM of denominators i.e. for 721,645 is 465045.
Thus, GCF of Fractions is 1/465045.Finally, GCF of Fractions for 7505/721, 6466/645 is 1/465045.