GCF of 5827/507, 4040/8612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5827/507, 4040/8612 i.e 1/4366284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5827/507, 4040/8612.
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 5827/507,4040/8612?
Given fractions are 5827/507,4040/8612
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 5827/507,4040/8612, numerators are 5827,4040
Denominators are 507,8612
The GCF of 5827,4040 is 1 .
LCM of 507,8612 is 4366284.
The greatest common factor of 5827/507,4040/8612 = [GCF of 5827,4040]/[LCM of 507,8612]= 1/4366284
Therefore, the GCF of 5827/507,4040/8612 is 1/4366284.
To find the highest common factor of 5827,4040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5827 are 1, 5827
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
The HCF of 5827,4040 is 1.
Lets's calculate GCF of 5827,4040
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5827,4040 By Matching Biggest Common Factor Method
Now, list down the factors of 5827
:1,5827
Now, list down the factors of 4040
:1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Greatest Common Factor
We found the factors 5827,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 5827,4040 is 1.
Lets's calculate LCM of 507,8612
Given numbers has no common factors except 1. So, there LCM is their product i.e 4366284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4366284
Therefore, the GCF of Fractions 5827/507,4040/8612 is 1/4366284
Least Common Multiple of 507,8612 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 507,8612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,8612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,8612) x common factors =1 x 1 = 1
LCM(507,8612) = ( 507 × 8612 ) / 1
LCM(507,8612) = 4366284 / 1
LCM(507,8612) = 4366284
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FAQs on GCF of Fractions of 5827/507, 4040/8612
1. What is the HCF of 5827,4040?
The HCF of 5827,4040 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 5827/507, 4040/8612?
Answer: GCF of Numerators as per given numbers 5827/507, 4040/8612 is
GCF of Numerators i.e. for 5827,4040 is 1
LCM of denominators i.e. for 507,8612 is 4366284.
Thus, GCF of Fractions is 1/4366284.Finally, GCF of Fractions for 5827/507, 4040/8612 is 1/4366284.