GCF of 2663/968, 7853/1663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2663/968, 7853/1663 i.e 1/1609784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2663/968, 7853/1663.
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 2663/968,7853/1663?
Given fractions are 2663/968,7853/1663
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 2663/968,7853/1663, numerators are 2663,7853
Denominators are 968,1663
The GCF of 2663,7853 is 1 .
LCM of 968,1663 is 1609784.
The greatest common factor of 2663/968,7853/1663 = [GCF of 2663,7853]/[LCM of 968,1663]= 1/1609784
Therefore, the GCF of 2663/968,7853/1663 is 1/1609784.
To find the highest common factor of 2663,7853, we have to find the factors of both numbers and list the highest common factor.
The factors of 2663 are 1, 2663
The factors of 7853 are 1, 7853
The HCF of 2663,7853 is 1.
Lets's calculate GCF of 2663,7853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2663,7853 By Matching Biggest Common Factor Method
Now, list down the factors of 2663
:1,2663
Now, list down the factors of 7853
:1,7853
Greatest Common Factor
We found the factors 2663,7853 . The biggest common factor number is the GCF number.
So the greatest common factor 2663,7853 is 1.
Lets's calculate LCM of 968,1663
Given numbers has no common factors except 1. So, there LCM is their product i.e 1609784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1609784
Therefore, the GCF of Fractions 2663/968,7853/1663 is 1/1609784
Least Common Multiple of 968,1663 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 968,1663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1663) x common factors =1 x 1 = 1
LCM(968,1663) = ( 968 × 1663 ) / 1
LCM(968,1663) = 1609784 / 1
LCM(968,1663) = 1609784
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FAQs on GCF of Fractions of 2663/968, 7853/1663
1. What is the HCF of 2663,7853?
The HCF of 2663,7853 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 2663/968, 7853/1663?
Answer: GCF of Numerators as per given numbers 2663/968, 7853/1663 is
GCF of Numerators i.e. for 2663,7853 is 1
LCM of denominators i.e. for 968,1663 is 1609784.
Thus, GCF of Fractions is 1/1609784.Finally, GCF of Fractions for 2663/968, 7853/1663 is 1/1609784.