GCF of 5587/168, 4198/7869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5587/168, 4198/7869 i.e 1/440664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5587/168, 4198/7869.
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 5587/168,4198/7869?
Given fractions are 5587/168,4198/7869
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 5587/168,4198/7869, numerators are 5587,4198
Denominators are 168,7869
The GCF of 5587,4198 is 1 .
LCM of 168,7869 is 440664.
The greatest common factor of 5587/168,4198/7869 = [GCF of 5587,4198]/[LCM of 168,7869]= 1/440664
Therefore, the GCF of 5587/168,4198/7869 is 1/440664.
To find the highest common factor of 5587,4198, we have to find the factors of both numbers and list the highest common factor.
The factors of 5587 are 1, 37, 151, 5587
The factors of 4198 are 1, 2, 2099, 4198
The HCF of 5587,4198 is 1.
Lets's calculate GCF of 5587,4198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5587,4198 By Matching Biggest Common Factor Method
Now, list down the factors of 5587
:1,37,151,5587
Now, list down the factors of 4198
:1,2,2099,4198
Greatest Common Factor
We found the factors 5587,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 5587,4198 is 1.
Lets's calculate LCM of 168,7869
| 3 | 168, 7869 |
| 56, 2623 |
∴ So the LCM of the given numbers is 3 x 56 x 2623 = 440664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440664
Therefore, the GCF of Fractions 5587/168,4198/7869 is 1/440664
Least Common Multiple of 168,7869 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 168,7869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,7869) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(168,7869) x common factors =3 x 1 = 3
LCM(168,7869) = ( 168 × 7869 ) / 3
LCM(168,7869) = 1321992 / 3
LCM(168,7869) = 440664
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FAQs on GCF of Fractions of 5587/168, 4198/7869
1. What is the HCF of 5587,4198?
The HCF of 5587,4198 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 5587/168, 4198/7869?
Answer: GCF of Numerators as per given numbers 5587/168, 4198/7869 is
GCF of Numerators i.e. for 5587,4198 is 1
LCM of denominators i.e. for 168,7869 is 440664.
Thus, GCF of Fractions is 1/440664.Finally, GCF of Fractions for 5587/168, 4198/7869 is 1/440664.