GCF of 5789/500, 3531/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5789/500, 3531/311 i.e 1/155500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5789/500, 3531/311.
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 5789/500,3531/311?
Given fractions are 5789/500,3531/311
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 5789/500,3531/311, numerators are 5789,3531
Denominators are 500,311
The GCF of 5789,3531 is 1 .
LCM of 500,311 is 155500.
The greatest common factor of 5789/500,3531/311 = [GCF of 5789,3531]/[LCM of 500,311]= 1/155500
Therefore, the GCF of 5789/500,3531/311 is 1/155500.
To find the highest common factor of 5789,3531, we have to find the factors of both numbers and list the highest common factor.
The factors of 5789 are 1, 7, 827, 5789
The factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531
The HCF of 5789,3531 is 1.
Lets's calculate GCF of 5789,3531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5789,3531 By Matching Biggest Common Factor Method
Now, list down the factors of 5789
:1,7,827,5789
Now, list down the factors of 3531
:1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors 5789,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 5789,3531 is 1.
Lets's calculate LCM of 500,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 155500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155500
Therefore, the GCF of Fractions 5789/500,3531/311 is 1/155500
Least Common Multiple of 500,311 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 500,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,311) x common factors =1 x 1 = 1
LCM(500,311) = ( 500 × 311 ) / 1
LCM(500,311) = 155500 / 1
LCM(500,311) = 155500
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FAQs on GCF of Fractions of 5789/500, 3531/311
1. What is the HCF of 5789,3531?
The HCF of 5789,3531 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 5789/500, 3531/311?
Answer: GCF of Numerators as per given numbers 5789/500, 3531/311 is
GCF of Numerators i.e. for 5789,3531 is 1
LCM of denominators i.e. for 500,311 is 155500.
Thus, GCF of Fractions is 1/155500.Finally, GCF of Fractions for 5789/500, 3531/311 is 1/155500.