GCF of 7126/246, 4989/4063
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7126/246, 4989/4063 i.e 1/999498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7126/246, 4989/4063.
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 7126/246,4989/4063?
Given fractions are 7126/246,4989/4063
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 7126/246,4989/4063, numerators are 7126,4989
Denominators are 246,4063
The GCF of 7126,4989 is 1 .
LCM of 246,4063 is 999498.
The greatest common factor of 7126/246,4989/4063 = [GCF of 7126,4989]/[LCM of 246,4063]= 1/999498
Therefore, the GCF of 7126/246,4989/4063 is 1/999498.
To find the highest common factor of 7126,4989, we have to find the factors of both numbers and list the highest common factor.
The factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126
The factors of 4989 are 1, 3, 1663, 4989
The HCF of 7126,4989 is 1.
Lets's calculate GCF of 7126,4989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7126,4989 By Matching Biggest Common Factor Method
Now, list down the factors of 7126
:1,2,7,14,509,1018,3563,7126
Now, list down the factors of 4989
:1,3,1663,4989
Greatest Common Factor
We found the factors 7126,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 7126,4989 is 1.
Lets's calculate LCM of 246,4063
Given numbers has no common factors except 1. So, there LCM is their product i.e 999498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999498
Therefore, the GCF of Fractions 7126/246,4989/4063 is 1/999498
Least Common Multiple of 246,4063 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 246,4063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,4063) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,4063) x common factors =1 x 1 = 1
LCM(246,4063) = ( 246 × 4063 ) / 1
LCM(246,4063) = 999498 / 1
LCM(246,4063) = 999498
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FAQs on GCF of Fractions of 7126/246, 4989/4063
1. What is the HCF of 7126,4989?
The HCF of 7126,4989 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 7126/246, 4989/4063?
Answer: GCF of Numerators as per given numbers 7126/246, 4989/4063 is
GCF of Numerators i.e. for 7126,4989 is 1
LCM of denominators i.e. for 246,4063 is 999498.
Thus, GCF of Fractions is 1/999498.Finally, GCF of Fractions for 7126/246, 4989/4063 is 1/999498.