GCF of 5731/599, 1137/2465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5731/599, 1137/2465 i.e 1/1476535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5731/599, 1137/2465.
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 5731/599,1137/2465?
Given fractions are 5731/599,1137/2465
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 5731/599,1137/2465, numerators are 5731,1137
Denominators are 599,2465
The GCF of 5731,1137 is 1 .
LCM of 599,2465 is 1476535.
The greatest common factor of 5731/599,1137/2465 = [GCF of 5731,1137]/[LCM of 599,2465]= 1/1476535
Therefore, the GCF of 5731/599,1137/2465 is 1/1476535.
To find the highest common factor of 5731,1137, we have to find the factors of both numbers and list the highest common factor.
The factors of 5731 are 1, 11, 521, 5731
The factors of 1137 are 1, 3, 379, 1137
The HCF of 5731,1137 is 1.
Lets's calculate GCF of 5731,1137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5731,1137 By Matching Biggest Common Factor Method
Now, list down the factors of 5731
:1,11,521,5731
Now, list down the factors of 1137
:1,3,379,1137
Greatest Common Factor
We found the factors 5731,1137 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,1137 is 1.
Lets's calculate LCM of 599,2465
Given numbers has no common factors except 1. So, there LCM is their product i.e 1476535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1476535
Therefore, the GCF of Fractions 5731/599,1137/2465 is 1/1476535
Least Common Multiple of 599,2465 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 599,2465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,2465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,2465) x common factors =1 x 1 = 1
LCM(599,2465) = ( 599 × 2465 ) / 1
LCM(599,2465) = 1476535 / 1
LCM(599,2465) = 1476535
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FAQs on GCF of Fractions of 5731/599, 1137/2465
1. What is the HCF of 5731,1137?
The HCF of 5731,1137 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 5731/599, 1137/2465?
Answer: GCF of Numerators as per given numbers 5731/599, 1137/2465 is
GCF of Numerators i.e. for 5731,1137 is 1
LCM of denominators i.e. for 599,2465 is 1476535.
Thus, GCF of Fractions is 1/1476535.Finally, GCF of Fractions for 5731/599, 1137/2465 is 1/1476535.