GCF of 3915/409, 2789/8242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3915/409, 2789/8242 i.e 1/3370978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3915/409, 2789/8242.
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 3915/409,2789/8242?
Given fractions are 3915/409,2789/8242
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 3915/409,2789/8242, numerators are 3915,2789
Denominators are 409,8242
The GCF of 3915,2789 is 1 .
LCM of 409,8242 is 3370978.
The greatest common factor of 3915/409,2789/8242 = [GCF of 3915,2789]/[LCM of 409,8242]= 1/3370978
Therefore, the GCF of 3915/409,2789/8242 is 1/3370978.
To find the highest common factor of 3915,2789, we have to find the factors of both numbers and list the highest common factor.
The factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915
The factors of 2789 are 1, 2789
The HCF of 3915,2789 is 1.
Lets's calculate GCF of 3915,2789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3915,2789 By Matching Biggest Common Factor Method
Now, list down the factors of 3915
:1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915
Now, list down the factors of 2789
:1,2789
Greatest Common Factor
We found the factors 3915,2789 . The biggest common factor number is the GCF number.
So the greatest common factor 3915,2789 is 1.
Lets's calculate LCM of 409,8242
Given numbers has no common factors except 1. So, there LCM is their product i.e 3370978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3370978
Therefore, the GCF of Fractions 3915/409,2789/8242 is 1/3370978
Least Common Multiple of 409,8242 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 409,8242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8242) x common factors =1 x 1 = 1
LCM(409,8242) = ( 409 × 8242 ) / 1
LCM(409,8242) = 3370978 / 1
LCM(409,8242) = 3370978
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FAQs on GCF of Fractions of 3915/409, 2789/8242
1. What is the HCF of 3915,2789?
The HCF of 3915,2789 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 3915/409, 2789/8242?
Answer: GCF of Numerators as per given numbers 3915/409, 2789/8242 is
GCF of Numerators i.e. for 3915,2789 is 1
LCM of denominators i.e. for 409,8242 is 3370978.
Thus, GCF of Fractions is 1/3370978.Finally, GCF of Fractions for 3915/409, 2789/8242 is 1/3370978.