GCF of 4011/383, 4630/3871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4011/383, 4630/3871 i.e 1/1482593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4011/383, 4630/3871.
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 4011/383,4630/3871?
Given fractions are 4011/383,4630/3871
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 4011/383,4630/3871, numerators are 4011,4630
Denominators are 383,3871
The GCF of 4011,4630 is 1 .
LCM of 383,3871 is 1482593.
The greatest common factor of 4011/383,4630/3871 = [GCF of 4011,4630]/[LCM of 383,3871]= 1/1482593
Therefore, the GCF of 4011/383,4630/3871 is 1/1482593.
To find the highest common factor of 4011,4630, we have to find the factors of both numbers and list the highest common factor.
The factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011
The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630
The HCF of 4011,4630 is 1.
Lets's calculate GCF of 4011,4630
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4011,4630 By Matching Biggest Common Factor Method
Now, list down the factors of 4011
:1,3,7,21,191,573,1337,4011
Now, list down the factors of 4630
:1,2,5,10,463,926,2315,4630
Greatest Common Factor
We found the factors 4011,4630 . The biggest common factor number is the GCF number.
So the greatest common factor 4011,4630 is 1.
Lets's calculate LCM of 383,3871
Given numbers has no common factors except 1. So, there LCM is their product i.e 1482593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482593
Therefore, the GCF of Fractions 4011/383,4630/3871 is 1/1482593
Least Common Multiple of 383,3871 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 383,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3871) x common factors =1 x 1 = 1
LCM(383,3871) = ( 383 × 3871 ) / 1
LCM(383,3871) = 1482593 / 1
LCM(383,3871) = 1482593
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FAQs on GCF of Fractions of 4011/383, 4630/3871
1. What is the HCF of 4011,4630?
The HCF of 4011,4630 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 4011/383, 4630/3871?
Answer: GCF of Numerators as per given numbers 4011/383, 4630/3871 is
GCF of Numerators i.e. for 4011,4630 is 1
LCM of denominators i.e. for 383,3871 is 1482593.
Thus, GCF of Fractions is 1/1482593.Finally, GCF of Fractions for 4011/383, 4630/3871 is 1/1482593.