GCF of 8341/833, 1014/8648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8341/833, 1014/8648 i.e 1/7203784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8341/833, 1014/8648.
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 8341/833,1014/8648?
Given fractions are 8341/833,1014/8648
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 8341/833,1014/8648, numerators are 8341,1014
Denominators are 833,8648
The GCF of 8341,1014 is 1 .
LCM of 833,8648 is 7203784.
The greatest common factor of 8341/833,1014/8648 = [GCF of 8341,1014]/[LCM of 833,8648]= 1/7203784
Therefore, the GCF of 8341/833,1014/8648 is 1/7203784.
To find the highest common factor of 8341,1014, we have to find the factors of both numbers and list the highest common factor.
The factors of 8341 are 1, 19, 439, 8341
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The HCF of 8341,1014 is 1.
Lets's calculate GCF of 8341,1014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8341,1014 By Matching Biggest Common Factor Method
Now, list down the factors of 8341
:1,19,439,8341
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 8341,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 8341,1014 is 1.
Lets's calculate LCM of 833,8648
Given numbers has no common factors except 1. So, there LCM is their product i.e 7203784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7203784
Therefore, the GCF of Fractions 8341/833,1014/8648 is 1/7203784
Least Common Multiple of 833,8648 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 833,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,8648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,8648) x common factors =1 x 1 = 1
LCM(833,8648) = ( 833 × 8648 ) / 1
LCM(833,8648) = 7203784 / 1
LCM(833,8648) = 7203784
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FAQs on GCF of Fractions of 8341/833, 1014/8648
1. What is the HCF of 8341,1014?
The HCF of 8341,1014 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 8341/833, 1014/8648?
Answer: GCF of Numerators as per given numbers 8341/833, 1014/8648 is
GCF of Numerators i.e. for 8341,1014 is 1
LCM of denominators i.e. for 833,8648 is 7203784.
Thus, GCF of Fractions is 1/7203784.Finally, GCF of Fractions for 8341/833, 1014/8648 is 1/7203784.