GCF of 8918/837, 3905/2915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8918/837, 3905/2915 i.e 1/2439855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8918/837, 3905/2915.
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 8918/837,3905/2915?
Given fractions are 8918/837,3905/2915
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 8918/837,3905/2915, numerators are 8918,3905
Denominators are 837,2915
The GCF of 8918,3905 is 1 .
LCM of 837,2915 is 2439855.
The greatest common factor of 8918/837,3905/2915 = [GCF of 8918,3905]/[LCM of 837,2915]= 1/2439855
Therefore, the GCF of 8918/837,3905/2915 is 1/2439855.
To find the highest common factor of 8918,3905, we have to find the factors of both numbers and list the highest common factor.
The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The HCF of 8918,3905 is 1.
Lets's calculate GCF of 8918,3905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8918,3905 By Matching Biggest Common Factor Method
Now, list down the factors of 8918
:1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Greatest Common Factor
We found the factors 8918,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,3905 is 1.
Lets's calculate LCM of 837,2915
Given numbers has no common factors except 1. So, there LCM is their product i.e 2439855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2439855
Therefore, the GCF of Fractions 8918/837,3905/2915 is 1/2439855
Least Common Multiple of 837,2915 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 837,2915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,2915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,2915) x common factors =1 x 1 = 1
LCM(837,2915) = ( 837 × 2915 ) / 1
LCM(837,2915) = 2439855 / 1
LCM(837,2915) = 2439855
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FAQs on GCF of Fractions of 8918/837, 3905/2915
1. What is the HCF of 8918,3905?
The HCF of 8918,3905 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 8918/837, 3905/2915?
Answer: GCF of Numerators as per given numbers 8918/837, 3905/2915 is
GCF of Numerators i.e. for 8918,3905 is 1
LCM of denominators i.e. for 837,2915 is 2439855.
Thus, GCF of Fractions is 1/2439855.Finally, GCF of Fractions for 8918/837, 3905/2915 is 1/2439855.