GCF of 2723/562, 9403/2249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2723/562, 9403/2249 i.e 1/1263938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2723/562, 9403/2249.
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 2723/562,9403/2249?
Given fractions are 2723/562,9403/2249
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 2723/562,9403/2249, numerators are 2723,9403
Denominators are 562,2249
The GCF of 2723,9403 is 1 .
LCM of 562,2249 is 1263938.
The greatest common factor of 2723/562,9403/2249 = [GCF of 2723,9403]/[LCM of 562,2249]= 1/1263938
Therefore, the GCF of 2723/562,9403/2249 is 1/1263938.
To find the highest common factor of 2723,9403, we have to find the factors of both numbers and list the highest common factor.
The factors of 2723 are 1, 7, 389, 2723
The factors of 9403 are 1, 9403
The HCF of 2723,9403 is 1.
Lets's calculate GCF of 2723,9403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2723,9403 By Matching Biggest Common Factor Method
Now, list down the factors of 2723
:1,7,389,2723
Now, list down the factors of 9403
:1,9403
Greatest Common Factor
We found the factors 2723,9403 . The biggest common factor number is the GCF number.
So the greatest common factor 2723,9403 is 1.
Lets's calculate LCM of 562,2249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1263938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1263938
Therefore, the GCF of Fractions 2723/562,9403/2249 is 1/1263938
Least Common Multiple of 562,2249 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 562,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,2249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,2249) x common factors =1 x 1 = 1
LCM(562,2249) = ( 562 × 2249 ) / 1
LCM(562,2249) = 1263938 / 1
LCM(562,2249) = 1263938
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FAQs on GCF of Fractions of 2723/562, 9403/2249
1. What is the HCF of 2723,9403?
The HCF of 2723,9403 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 2723/562, 9403/2249?
Answer: GCF of Numerators as per given numbers 2723/562, 9403/2249 is
GCF of Numerators i.e. for 2723,9403 is 1
LCM of denominators i.e. for 562,2249 is 1263938.
Thus, GCF of Fractions is 1/1263938.Finally, GCF of Fractions for 2723/562, 9403/2249 is 1/1263938.