GCF of 2363/603, 5492/2188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2363/603, 5492/2188 i.e 1/1319364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2363/603, 5492/2188.
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 2363/603,5492/2188?
Given fractions are 2363/603,5492/2188
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 2363/603,5492/2188, numerators are 2363,5492
Denominators are 603,2188
The GCF of 2363,5492 is 1 .
LCM of 603,2188 is 1319364.
The greatest common factor of 2363/603,5492/2188 = [GCF of 2363,5492]/[LCM of 603,2188]= 1/1319364
Therefore, the GCF of 2363/603,5492/2188 is 1/1319364.
To find the highest common factor of 2363,5492, we have to find the factors of both numbers and list the highest common factor.
The factors of 2363 are 1, 17, 139, 2363
The factors of 5492 are 1, 2, 4, 1373, 2746, 5492
The HCF of 2363,5492 is 1.
Lets's calculate GCF of 2363,5492
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2363,5492 By Matching Biggest Common Factor Method
Now, list down the factors of 2363
:1,17,139,2363
Now, list down the factors of 5492
:1,2,4,1373,2746,5492
Greatest Common Factor
We found the factors 2363,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 2363,5492 is 1.
Lets's calculate LCM of 603,2188
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1319364
Therefore, the GCF of Fractions 2363/603,5492/2188 is 1/1319364
Least Common Multiple of 603,2188 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 603,2188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,2188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,2188) x common factors =1 x 1 = 1
LCM(603,2188) = ( 603 × 2188 ) / 1
LCM(603,2188) = 1319364 / 1
LCM(603,2188) = 1319364
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FAQs on GCF of Fractions of 2363/603, 5492/2188
1. What is the HCF of 2363,5492?
The HCF of 2363,5492 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 2363/603, 5492/2188?
Answer: GCF of Numerators as per given numbers 2363/603, 5492/2188 is
GCF of Numerators i.e. for 2363,5492 is 1
LCM of denominators i.e. for 603,2188 is 1319364.
Thus, GCF of Fractions is 1/1319364.Finally, GCF of Fractions for 2363/603, 5492/2188 is 1/1319364.