GCF of 4243/617, 6576/5527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4243/617, 6576/5527 i.e 1/3410159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4243/617, 6576/5527.
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 4243/617,6576/5527?
Given fractions are 4243/617,6576/5527
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 4243/617,6576/5527, numerators are 4243,6576
Denominators are 617,5527
The GCF of 4243,6576 is 1 .
LCM of 617,5527 is 3410159.
The greatest common factor of 4243/617,6576/5527 = [GCF of 4243,6576]/[LCM of 617,5527]= 1/3410159
Therefore, the GCF of 4243/617,6576/5527 is 1/3410159.
To find the highest common factor of 4243,6576, we have to find the factors of both numbers and list the highest common factor.
The factors of 4243 are 1, 4243
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The HCF of 4243,6576 is 1.
Lets's calculate GCF of 4243,6576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4243,6576 By Matching Biggest Common Factor Method
Now, list down the factors of 4243
:1,4243
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 4243,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,6576 is 1.
Lets's calculate LCM of 617,5527
Given numbers has no common factors except 1. So, there LCM is their product i.e 3410159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3410159
Therefore, the GCF of Fractions 4243/617,6576/5527 is 1/3410159
Least Common Multiple of 617,5527 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 617,5527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,5527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,5527) x common factors =1 x 1 = 1
LCM(617,5527) = ( 617 × 5527 ) / 1
LCM(617,5527) = 3410159 / 1
LCM(617,5527) = 3410159
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FAQs on GCF of Fractions of 4243/617, 6576/5527
1. What is the HCF of 4243,6576?
The HCF of 4243,6576 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 4243/617, 6576/5527?
Answer: GCF of Numerators as per given numbers 4243/617, 6576/5527 is
GCF of Numerators i.e. for 4243,6576 is 1
LCM of denominators i.e. for 617,5527 is 3410159.
Thus, GCF of Fractions is 1/3410159.Finally, GCF of Fractions for 4243/617, 6576/5527 is 1/3410159.