GCF of 4147/462, 5636/1349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4147/462, 5636/1349 i.e 1/623238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4147/462, 5636/1349.
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 4147/462,5636/1349?
Given fractions are 4147/462,5636/1349
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 4147/462,5636/1349, numerators are 4147,5636
Denominators are 462,1349
The GCF of 4147,5636 is 1 .
LCM of 462,1349 is 623238.
The greatest common factor of 4147/462,5636/1349 = [GCF of 4147,5636]/[LCM of 462,1349]= 1/623238
Therefore, the GCF of 4147/462,5636/1349 is 1/623238.
To find the highest common factor of 4147,5636, we have to find the factors of both numbers and list the highest common factor.
The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147
The factors of 5636 are 1, 2, 4, 1409, 2818, 5636
The HCF of 4147,5636 is 1.
Lets's calculate GCF of 4147,5636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4147,5636 By Matching Biggest Common Factor Method
Now, list down the factors of 4147
:1,11,13,29,143,319,377,4147
Now, list down the factors of 5636
:1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 4147,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,5636 is 1.
Lets's calculate LCM of 462,1349
Given numbers has no common factors except 1. So, there LCM is their product i.e 623238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623238
Therefore, the GCF of Fractions 4147/462,5636/1349 is 1/623238
Least Common Multiple of 462,1349 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 462,1349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,1349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,1349) x common factors =1 x 1 = 1
LCM(462,1349) = ( 462 × 1349 ) / 1
LCM(462,1349) = 623238 / 1
LCM(462,1349) = 623238
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FAQs on GCF of Fractions of 4147/462, 5636/1349
1. What is the HCF of 4147,5636?
The HCF of 4147,5636 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 4147/462, 5636/1349?
Answer: GCF of Numerators as per given numbers 4147/462, 5636/1349 is
GCF of Numerators i.e. for 4147,5636 is 1
LCM of denominators i.e. for 462,1349 is 623238.
Thus, GCF of Fractions is 1/623238.Finally, GCF of Fractions for 4147/462, 5636/1349 is 1/623238.