GCF of 5332/583, 1471/1784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5332/583, 1471/1784 i.e 1/1040072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5332/583, 1471/1784.
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 5332/583,1471/1784?
Given fractions are 5332/583,1471/1784
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 5332/583,1471/1784, numerators are 5332,1471
Denominators are 583,1784
The GCF of 5332,1471 is 1 .
LCM of 583,1784 is 1040072.
The greatest common factor of 5332/583,1471/1784 = [GCF of 5332,1471]/[LCM of 583,1784]= 1/1040072
Therefore, the GCF of 5332/583,1471/1784 is 1/1040072.
To find the highest common factor of 5332,1471, we have to find the factors of both numbers and list the highest common factor.
The factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332
The factors of 1471 are 1, 1471
The HCF of 5332,1471 is 1.
Lets's calculate GCF of 5332,1471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5332,1471 By Matching Biggest Common Factor Method
Now, list down the factors of 5332
:1,2,4,31,43,62,86,124,172,1333,2666,5332
Now, list down the factors of 1471
:1,1471
Greatest Common Factor
We found the factors 5332,1471 . The biggest common factor number is the GCF number.
So the greatest common factor 5332,1471 is 1.
Lets's calculate LCM of 583,1784
Given numbers has no common factors except 1. So, there LCM is their product i.e 1040072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040072
Therefore, the GCF of Fractions 5332/583,1471/1784 is 1/1040072
Least Common Multiple of 583,1784 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 583,1784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,1784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,1784) x common factors =1 x 1 = 1
LCM(583,1784) = ( 583 × 1784 ) / 1
LCM(583,1784) = 1040072 / 1
LCM(583,1784) = 1040072
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5332/583, 1471/1784
1. What is the HCF of 5332,1471?
The HCF of 5332,1471 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 5332/583, 1471/1784?
Answer: GCF of Numerators as per given numbers 5332/583, 1471/1784 is
GCF of Numerators i.e. for 5332,1471 is 1
LCM of denominators i.e. for 583,1784 is 1040072.
Thus, GCF of Fractions is 1/1040072.Finally, GCF of Fractions for 5332/583, 1471/1784 is 1/1040072.