GCF of 5663/652, 1600/1293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5663/652, 1600/1293 i.e 1/843036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5663/652, 1600/1293.
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 5663/652,1600/1293?
Given fractions are 5663/652,1600/1293
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 5663/652,1600/1293, numerators are 5663,1600
Denominators are 652,1293
The GCF of 5663,1600 is 1 .
LCM of 652,1293 is 843036.
The greatest common factor of 5663/652,1600/1293 = [GCF of 5663,1600]/[LCM of 652,1293]= 1/843036
Therefore, the GCF of 5663/652,1600/1293 is 1/843036.
To find the highest common factor of 5663,1600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5663 are 1, 7, 809, 5663
The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600
The HCF of 5663,1600 is 1.
Lets's calculate GCF of 5663,1600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5663,1600 By Matching Biggest Common Factor Method
Now, list down the factors of 5663
:1,7,809,5663
Now, list down the factors of 1600
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600
Greatest Common Factor
We found the factors 5663,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 5663,1600 is 1.
Lets's calculate LCM of 652,1293
Given numbers has no common factors except 1. So, there LCM is their product i.e 843036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843036
Therefore, the GCF of Fractions 5663/652,1600/1293 is 1/843036
Least Common Multiple of 652,1293 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 652,1293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,1293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,1293) x common factors =1 x 1 = 1
LCM(652,1293) = ( 652 × 1293 ) / 1
LCM(652,1293) = 843036 / 1
LCM(652,1293) = 843036
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FAQs on GCF of Fractions of 5663/652, 1600/1293
1. What is the HCF of 5663,1600?
The HCF of 5663,1600 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 5663/652, 1600/1293?
Answer: GCF of Numerators as per given numbers 5663/652, 1600/1293 is
GCF of Numerators i.e. for 5663,1600 is 1
LCM of denominators i.e. for 652,1293 is 843036.
Thus, GCF of Fractions is 1/843036.Finally, GCF of Fractions for 5663/652, 1600/1293 is 1/843036.