GCF of 4226/457, 9727/6893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4226/457, 9727/6893 i.e 1/3150101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4226/457, 9727/6893.
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 4226/457,9727/6893?
Given fractions are 4226/457,9727/6893
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 4226/457,9727/6893, numerators are 4226,9727
Denominators are 457,6893
The GCF of 4226,9727 is 1 .
LCM of 457,6893 is 3150101.
The greatest common factor of 4226/457,9727/6893 = [GCF of 4226,9727]/[LCM of 457,6893]= 1/3150101
Therefore, the GCF of 4226/457,9727/6893 is 1/3150101.
To find the highest common factor of 4226,9727, we have to find the factors of both numbers and list the highest common factor.
The factors of 4226 are 1, 2, 2113, 4226
The factors of 9727 are 1, 71, 137, 9727
The HCF of 4226,9727 is 1.
Lets's calculate GCF of 4226,9727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4226,9727 By Matching Biggest Common Factor Method
Now, list down the factors of 4226
:1,2,2113,4226
Now, list down the factors of 9727
:1,71,137,9727
Greatest Common Factor
We found the factors 4226,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 4226,9727 is 1.
Lets's calculate LCM of 457,6893
Given numbers has no common factors except 1. So, there LCM is their product i.e 3150101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3150101
Therefore, the GCF of Fractions 4226/457,9727/6893 is 1/3150101
Least Common Multiple of 457,6893 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 457,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,6893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,6893) x common factors =1 x 1 = 1
LCM(457,6893) = ( 457 × 6893 ) / 1
LCM(457,6893) = 3150101 / 1
LCM(457,6893) = 3150101
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FAQs on GCF of Fractions of 4226/457, 9727/6893
1. What is the HCF of 4226,9727?
The HCF of 4226,9727 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 4226/457, 9727/6893?
Answer: GCF of Numerators as per given numbers 4226/457, 9727/6893 is
GCF of Numerators i.e. for 4226,9727 is 1
LCM of denominators i.e. for 457,6893 is 3150101.
Thus, GCF of Fractions is 1/3150101.Finally, GCF of Fractions for 4226/457, 9727/6893 is 1/3150101.