GCF of 867/283, 6517/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/283, 6517/511 i.e 1/144613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/283, 6517/511.
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 867/283,6517/511?
Given fractions are 867/283,6517/511
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 867/283,6517/511, numerators are 867,6517
Denominators are 283,511
The GCF of 867,6517 is 1 .
LCM of 283,511 is 144613.
The greatest common factor of 867/283,6517/511 = [GCF of 867,6517]/[LCM of 283,511]= 1/144613
Therefore, the GCF of 867/283,6517/511 is 1/144613.
To find the highest common factor of 867,6517, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517
The HCF of 867,6517 is 1.
Lets's calculate GCF of 867,6517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,6517 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 6517
:1,7,19,49,133,343,931,6517
Greatest Common Factor
We found the factors 867,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 867,6517 is 1.
Lets's calculate LCM of 283,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 144613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144613
Therefore, the GCF of Fractions 867/283,6517/511 is 1/144613
Least Common Multiple of 283,511 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 283,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,511) x common factors =1 x 1 = 1
LCM(283,511) = ( 283 × 511 ) / 1
LCM(283,511) = 144613 / 1
LCM(283,511) = 144613
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FAQs on GCF of Fractions of 867/283, 6517/511
1. What is the HCF of 867,6517?
The HCF of 867,6517 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 867/283, 6517/511?
Answer: GCF of Numerators as per given numbers 867/283, 6517/511 is
GCF of Numerators i.e. for 867,6517 is 1
LCM of denominators i.e. for 283,511 is 144613.
Thus, GCF of Fractions is 1/144613.Finally, GCF of Fractions for 867/283, 6517/511 is 1/144613.