GCF of 5809/257, 1072/5530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5809/257, 1072/5530 i.e 1/1421210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5809/257, 1072/5530.
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 5809/257,1072/5530?
Given fractions are 5809/257,1072/5530
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 5809/257,1072/5530, numerators are 5809,1072
Denominators are 257,5530
The GCF of 5809,1072 is 1 .
LCM of 257,5530 is 1421210.
The greatest common factor of 5809/257,1072/5530 = [GCF of 5809,1072]/[LCM of 257,5530]= 1/1421210
Therefore, the GCF of 5809/257,1072/5530 is 1/1421210.
To find the highest common factor of 5809,1072, we have to find the factors of both numbers and list the highest common factor.
The factors of 5809 are 1, 37, 157, 5809
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
The HCF of 5809,1072 is 1.
Lets's calculate GCF of 5809,1072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5809,1072 By Matching Biggest Common Factor Method
Now, list down the factors of 5809
:1,37,157,5809
Now, list down the factors of 1072
:1,2,4,8,16,67,134,268,536,1072
Greatest Common Factor
We found the factors 5809,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 5809,1072 is 1.
Lets's calculate LCM of 257,5530
Given numbers has no common factors except 1. So, there LCM is their product i.e 1421210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1421210
Therefore, the GCF of Fractions 5809/257,1072/5530 is 1/1421210
Least Common Multiple of 257,5530 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 257,5530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,5530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,5530) x common factors =1 x 1 = 1
LCM(257,5530) = ( 257 × 5530 ) / 1
LCM(257,5530) = 1421210 / 1
LCM(257,5530) = 1421210
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FAQs on GCF of Fractions of 5809/257, 1072/5530
1. What is the HCF of 5809,1072?
The HCF of 5809,1072 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 5809/257, 1072/5530?
Answer: GCF of Numerators as per given numbers 5809/257, 1072/5530 is
GCF of Numerators i.e. for 5809,1072 is 1
LCM of denominators i.e. for 257,5530 is 1421210.
Thus, GCF of Fractions is 1/1421210.Finally, GCF of Fractions for 5809/257, 1072/5530 is 1/1421210.