GCF of 5923/207, 5569/9586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5923/207, 5569/9586 i.e 1/1984302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5923/207, 5569/9586.
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 5923/207,5569/9586?
Given fractions are 5923/207,5569/9586
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 5923/207,5569/9586, numerators are 5923,5569
Denominators are 207,9586
The GCF of 5923,5569 is 1 .
LCM of 207,9586 is 1984302.
The greatest common factor of 5923/207,5569/9586 = [GCF of 5923,5569]/[LCM of 207,9586]= 1/1984302
Therefore, the GCF of 5923/207,5569/9586 is 1/1984302.
To find the highest common factor of 5923,5569, we have to find the factors of both numbers and list the highest common factor.
The factors of 5923 are 1, 5923
The factors of 5569 are 1, 5569
The HCF of 5923,5569 is 1.
Lets's calculate GCF of 5923,5569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5923,5569 By Matching Biggest Common Factor Method
Now, list down the factors of 5923
:1,5923
Now, list down the factors of 5569
:1,5569
Greatest Common Factor
We found the factors 5923,5569 . The biggest common factor number is the GCF number.
So the greatest common factor 5923,5569 is 1.
Lets's calculate LCM of 207,9586
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984302
Therefore, the GCF of Fractions 5923/207,5569/9586 is 1/1984302
Least Common Multiple of 207,9586 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 207,9586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,9586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,9586) x common factors =1 x 1 = 1
LCM(207,9586) = ( 207 × 9586 ) / 1
LCM(207,9586) = 1984302 / 1
LCM(207,9586) = 1984302
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FAQs on GCF of Fractions of 5923/207, 5569/9586
1. What is the HCF of 5923,5569?
The HCF of 5923,5569 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 5923/207, 5569/9586?
Answer: GCF of Numerators as per given numbers 5923/207, 5569/9586 is
GCF of Numerators i.e. for 5923,5569 is 1
LCM of denominators i.e. for 207,9586 is 1984302.
Thus, GCF of Fractions is 1/1984302.Finally, GCF of Fractions for 5923/207, 5569/9586 is 1/1984302.