GCF of 3563/654, 2857/3643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3563/654, 2857/3643 i.e 1/2382522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3563/654, 2857/3643.
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 3563/654,2857/3643?
Given fractions are 3563/654,2857/3643
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 3563/654,2857/3643, numerators are 3563,2857
Denominators are 654,3643
The GCF of 3563,2857 is 1 .
LCM of 654,3643 is 2382522.
The greatest common factor of 3563/654,2857/3643 = [GCF of 3563,2857]/[LCM of 654,3643]= 1/2382522
Therefore, the GCF of 3563/654,2857/3643 is 1/2382522.
To find the highest common factor of 3563,2857, we have to find the factors of both numbers and list the highest common factor.
The factors of 3563 are 1, 7, 509, 3563
The factors of 2857 are 1, 2857
The HCF of 3563,2857 is 1.
Lets's calculate GCF of 3563,2857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3563,2857 By Matching Biggest Common Factor Method
Now, list down the factors of 3563
:1,7,509,3563
Now, list down the factors of 2857
:1,2857
Greatest Common Factor
We found the factors 3563,2857 . The biggest common factor number is the GCF number.
So the greatest common factor 3563,2857 is 1.
Lets's calculate LCM of 654,3643
Given numbers has no common factors except 1. So, there LCM is their product i.e 2382522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2382522
Therefore, the GCF of Fractions 3563/654,2857/3643 is 1/2382522
Least Common Multiple of 654,3643 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 654,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3643) x common factors =1 x 1 = 1
LCM(654,3643) = ( 654 × 3643 ) / 1
LCM(654,3643) = 2382522 / 1
LCM(654,3643) = 2382522
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FAQs on GCF of Fractions of 3563/654, 2857/3643
1. What is the HCF of 3563,2857?
The HCF of 3563,2857 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 3563/654, 2857/3643?
Answer: GCF of Numerators as per given numbers 3563/654, 2857/3643 is
GCF of Numerators i.e. for 3563,2857 is 1
LCM of denominators i.e. for 654,3643 is 2382522.
Thus, GCF of Fractions is 1/2382522.Finally, GCF of Fractions for 3563/654, 2857/3643 is 1/2382522.