GCF of 4199/364, 5607/5908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4199/364, 5607/5908 i.e 1/76804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4199/364, 5607/5908.
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 4199/364,5607/5908?
Given fractions are 4199/364,5607/5908
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 4199/364,5607/5908, numerators are 4199,5607
Denominators are 364,5908
The GCF of 4199,5607 is 1 .
LCM of 364,5908 is 76804.
The greatest common factor of 4199/364,5607/5908 = [GCF of 4199,5607]/[LCM of 364,5908]= 1/76804
Therefore, the GCF of 4199/364,5607/5908 is 1/76804.
To find the highest common factor of 4199,5607, we have to find the factors of both numbers and list the highest common factor.
The factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199
The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607
The HCF of 4199,5607 is 1.
Lets's calculate GCF of 4199,5607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4199,5607 By Matching Biggest Common Factor Method
Now, list down the factors of 4199
:1,13,17,19,221,247,323,4199
Now, list down the factors of 5607
:1,3,7,9,21,63,89,267,623,801,1869,5607
Greatest Common Factor
We found the factors 4199,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 4199,5607 is 1.
Lets's calculate LCM of 364,5908
| 2 | 364, 5908 |
| 2 | 182, 2954 |
| 7 | 91, 1477 |
| 13, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 211 = 76804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76804
Therefore, the GCF of Fractions 4199/364,5607/5908 is 1/76804
Least Common Multiple of 364,5908 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 364,5908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,5908) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(364,5908) x common factors =28 x 1 = 28
LCM(364,5908) = ( 364 × 5908 ) / 28
LCM(364,5908) = 2150512 / 28
LCM(364,5908) = 76804
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FAQs on GCF of Fractions of 4199/364, 5607/5908
1. What is the HCF of 4199,5607?
The HCF of 4199,5607 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 4199/364, 5607/5908?
Answer: GCF of Numerators as per given numbers 4199/364, 5607/5908 is
GCF of Numerators i.e. for 4199,5607 is 1
LCM of denominators i.e. for 364,5908 is 76804.
Thus, GCF of Fractions is 1/76804.Finally, GCF of Fractions for 4199/364, 5607/5908 is 1/76804.