GCF of 523/47, 117/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 523/47, 117/889 i.e 1/41783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/47, 117/889.
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 523/47,117/889?
Given fractions are 523/47,117/889
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 523/47,117/889, numerators are 523,117
Denominators are 47,889
The GCF of 523,117 is 1 .
LCM of 47,889 is 41783.
The greatest common factor of 523/47,117/889 = [GCF of 523,117]/[LCM of 47,889]= 1/41783
Therefore, the GCF of 523/47,117/889 is 1/41783.
To find the highest common factor of 523,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 523 are 1, 523
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 523,117 is 1.
Lets's calculate GCF of 523,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 523,117 By Matching Biggest Common Factor Method
Now, list down the factors of 523
:1,523
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 523,117 . The biggest common factor number is the GCF number.
So the greatest common factor 523,117 is 1.
Lets's calculate LCM of 47,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 41783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41783
Therefore, the GCF of Fractions 523/47,117/889 is 1/41783
Least Common Multiple of 47,889 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 47,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,889) x common factors =1 x 1 = 1
LCM(47,889) = ( 47 × 889 ) / 1
LCM(47,889) = 41783 / 1
LCM(47,889) = 41783
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 523/47, 117/889
1. What is the HCF of 523,117?
The HCF of 523,117 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 523/47, 117/889?
Answer: GCF of Numerators as per given numbers 523/47, 117/889 is
GCF of Numerators i.e. for 523,117 is 1
LCM of denominators i.e. for 47,889 is 41783.
Thus, GCF of Fractions is 1/41783.Finally, GCF of Fractions for 523/47, 117/889 is 1/41783.