GCF of 5599/314, 3563/5165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5599/314, 3563/5165 i.e 509/1621810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5599/314, 3563/5165.
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 5599/314,3563/5165?
Given fractions are 5599/314,3563/5165
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 5599/314,3563/5165, numerators are 5599,3563
Denominators are 314,5165
The GCF of 5599,3563 is 509 .
LCM of 314,5165 is 1621810.
The greatest common factor of 5599/314,3563/5165 = [GCF of 5599,3563]/[LCM of 314,5165]= 509/1621810
Therefore, the GCF of 5599/314,3563/5165 is 509/1621810.
To find the highest common factor of 5599,3563, we have to find the factors of both numbers and list the highest common factor.
The factors of 5599 are 1, 11, 509, 5599
The factors of 3563 are 1, 7, 509, 3563
The HCF of 5599,3563 is 509.
Lets's calculate GCF of 5599,3563
| 509 | 5599, 3563 |
| 11, 7 |
∴ So the GCF of the given numbers is 509 = 509
Greatest Common Factor of 5599,3563 By Matching Biggest Common Factor Method
Now, list down the factors of 5599
:1,11,509,5599
Now, list down the factors of 3563
:1,7,509,3563
Greatest Common Factor
We found the factors 5599,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 5599,3563 is 509.
Lets's calculate LCM of 314,5165
Given numbers has no common factors except 1. So, there LCM is their product i.e 1621810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 509/1621810
Therefore, the GCF of Fractions 5599/314,3563/5165 is 509/1621810
Least Common Multiple of 314,5165 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 314,5165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,5165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,5165) x common factors =1 x 1 = 1
LCM(314,5165) = ( 314 × 5165 ) / 1
LCM(314,5165) = 1621810 / 1
LCM(314,5165) = 1621810
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FAQs on GCF of Fractions of 5599/314, 3563/5165
1. What is the HCF of 5599,3563?
The HCF of 5599,3563 is 509
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 5599/314, 3563/5165?
Answer: GCF of Numerators as per given numbers 5599/314, 3563/5165 is
GCF of Numerators i.e. for 5599,3563 is 509
LCM of denominators i.e. for 314,5165 is 1621810.
Thus, GCF of Fractions is 509/1621810.Finally, GCF of Fractions for 5599/314, 3563/5165 is 509/1621810.