GCF of 3105/866, 8252/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3105/866, 8252/975 i.e 1/844350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3105/866, 8252/975.
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 3105/866,8252/975?
Given fractions are 3105/866,8252/975
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 3105/866,8252/975, numerators are 3105,8252
Denominators are 866,975
The GCF of 3105,8252 is 1 .
LCM of 866,975 is 844350.
The greatest common factor of 3105/866,8252/975 = [GCF of 3105,8252]/[LCM of 866,975]= 1/844350
Therefore, the GCF of 3105/866,8252/975 is 1/844350.
To find the highest common factor of 3105,8252, we have to find the factors of both numbers and list the highest common factor.
The factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
The factors of 8252 are 1, 2, 4, 2063, 4126, 8252
The HCF of 3105,8252 is 1.
Lets's calculate GCF of 3105,8252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3105,8252 By Matching Biggest Common Factor Method
Now, list down the factors of 3105
:1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Now, list down the factors of 8252
:1,2,4,2063,4126,8252
Greatest Common Factor
We found the factors 3105,8252 . The biggest common factor number is the GCF number.
So the greatest common factor 3105,8252 is 1.
Lets's calculate LCM of 866,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 844350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844350
Therefore, the GCF of Fractions 3105/866,8252/975 is 1/844350
Least Common Multiple of 866,975 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 866,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,975) x common factors =1 x 1 = 1
LCM(866,975) = ( 866 × 975 ) / 1
LCM(866,975) = 844350 / 1
LCM(866,975) = 844350
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FAQs on GCF of Fractions of 3105/866, 8252/975
1. What is the HCF of 3105,8252?
The HCF of 3105,8252 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 3105/866, 8252/975?
Answer: GCF of Numerators as per given numbers 3105/866, 8252/975 is
GCF of Numerators i.e. for 3105,8252 is 1
LCM of denominators i.e. for 866,975 is 844350.
Thus, GCF of Fractions is 1/844350.Finally, GCF of Fractions for 3105/866, 8252/975 is 1/844350.