GCF of 4543/686, 7246/3601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4543/686, 7246/3601 i.e 1/2470286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4543/686, 7246/3601.
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 4543/686,7246/3601?
Given fractions are 4543/686,7246/3601
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 4543/686,7246/3601, numerators are 4543,7246
Denominators are 686,3601
The GCF of 4543,7246 is 1 .
LCM of 686,3601 is 2470286.
The greatest common factor of 4543/686,7246/3601 = [GCF of 4543,7246]/[LCM of 686,3601]= 1/2470286
Therefore, the GCF of 4543/686,7246/3601 is 1/2470286.
To find the highest common factor of 4543,7246, we have to find the factors of both numbers and list the highest common factor.
The factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543
The factors of 7246 are 1, 2, 3623, 7246
The HCF of 4543,7246 is 1.
Lets's calculate GCF of 4543,7246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4543,7246 By Matching Biggest Common Factor Method
Now, list down the factors of 4543
:1,7,11,59,77,413,649,4543
Now, list down the factors of 7246
:1,2,3623,7246
Greatest Common Factor
We found the factors 4543,7246 . The biggest common factor number is the GCF number.
So the greatest common factor 4543,7246 is 1.
Lets's calculate LCM of 686,3601
Given numbers has no common factors except 1. So, there LCM is their product i.e 2470286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2470286
Therefore, the GCF of Fractions 4543/686,7246/3601 is 1/2470286
Least Common Multiple of 686,3601 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 686,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,3601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,3601) x common factors =1 x 1 = 1
LCM(686,3601) = ( 686 × 3601 ) / 1
LCM(686,3601) = 2470286 / 1
LCM(686,3601) = 2470286
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FAQs on GCF of Fractions of 4543/686, 7246/3601
1. What is the HCF of 4543,7246?
The HCF of 4543,7246 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 4543/686, 7246/3601?
Answer: GCF of Numerators as per given numbers 4543/686, 7246/3601 is
GCF of Numerators i.e. for 4543,7246 is 1
LCM of denominators i.e. for 686,3601 is 2470286.
Thus, GCF of Fractions is 1/2470286.Finally, GCF of Fractions for 4543/686, 7246/3601 is 1/2470286.