GCF of 4181/633, 6851/3964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4181/633, 6851/3964 i.e 1/2509212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4181/633, 6851/3964.
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 4181/633,6851/3964?
Given fractions are 4181/633,6851/3964
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 4181/633,6851/3964, numerators are 4181,6851
Denominators are 633,3964
The GCF of 4181,6851 is 1 .
LCM of 633,3964 is 2509212.
The greatest common factor of 4181/633,6851/3964 = [GCF of 4181,6851]/[LCM of 633,3964]= 1/2509212
Therefore, the GCF of 4181/633,6851/3964 is 1/2509212.
To find the highest common factor of 4181,6851, we have to find the factors of both numbers and list the highest common factor.
The factors of 4181 are 1, 37, 113, 4181
The factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851
The HCF of 4181,6851 is 1.
Lets's calculate GCF of 4181,6851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4181,6851 By Matching Biggest Common Factor Method
Now, list down the factors of 4181
:1,37,113,4181
Now, list down the factors of 6851
:1,13,17,31,221,403,527,6851
Greatest Common Factor
We found the factors 4181,6851 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,6851 is 1.
Lets's calculate LCM of 633,3964
Given numbers has no common factors except 1. So, there LCM is their product i.e 2509212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2509212
Therefore, the GCF of Fractions 4181/633,6851/3964 is 1/2509212
Least Common Multiple of 633,3964 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 633,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,3964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,3964) x common factors =1 x 1 = 1
LCM(633,3964) = ( 633 × 3964 ) / 1
LCM(633,3964) = 2509212 / 1
LCM(633,3964) = 2509212
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FAQs on GCF of Fractions of 4181/633, 6851/3964
1. What is the HCF of 4181,6851?
The HCF of 4181,6851 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 4181/633, 6851/3964?
Answer: GCF of Numerators as per given numbers 4181/633, 6851/3964 is
GCF of Numerators i.e. for 4181,6851 is 1
LCM of denominators i.e. for 633,3964 is 2509212.
Thus, GCF of Fractions is 1/2509212.Finally, GCF of Fractions for 4181/633, 6851/3964 is 1/2509212.