GCF of 4715/867, 6568/1363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4715/867, 6568/1363 i.e 1/1181721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4715/867, 6568/1363.
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 4715/867,6568/1363?
Given fractions are 4715/867,6568/1363
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 4715/867,6568/1363, numerators are 4715,6568
Denominators are 867,1363
The GCF of 4715,6568 is 1 .
LCM of 867,1363 is 1181721.
The greatest common factor of 4715/867,6568/1363 = [GCF of 4715,6568]/[LCM of 867,1363]= 1/1181721
Therefore, the GCF of 4715/867,6568/1363 is 1/1181721.
To find the highest common factor of 4715,6568, we have to find the factors of both numbers and list the highest common factor.
The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715
The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568
The HCF of 4715,6568 is 1.
Lets's calculate GCF of 4715,6568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4715,6568 By Matching Biggest Common Factor Method
Now, list down the factors of 4715
:1,5,23,41,115,205,943,4715
Now, list down the factors of 6568
:1,2,4,8,821,1642,3284,6568
Greatest Common Factor
We found the factors 4715,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 4715,6568 is 1.
Lets's calculate LCM of 867,1363
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1181721
Therefore, the GCF of Fractions 4715/867,6568/1363 is 1/1181721
Least Common Multiple of 867,1363 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 867,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,1363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,1363) x common factors =1 x 1 = 1
LCM(867,1363) = ( 867 × 1363 ) / 1
LCM(867,1363) = 1181721 / 1
LCM(867,1363) = 1181721
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FAQs on GCF of Fractions of 4715/867, 6568/1363
1. What is the HCF of 4715,6568?
The HCF of 4715,6568 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 4715/867, 6568/1363?
Answer: GCF of Numerators as per given numbers 4715/867, 6568/1363 is
GCF of Numerators i.e. for 4715,6568 is 1
LCM of denominators i.e. for 867,1363 is 1181721.
Thus, GCF of Fractions is 1/1181721.Finally, GCF of Fractions for 4715/867, 6568/1363 is 1/1181721.