GCF of 563/129, 309/923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 563/129, 309/923 i.e 1/119067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/129, 309/923.
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 563/129,309/923?
Given fractions are 563/129,309/923
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 563/129,309/923, numerators are 563,309
Denominators are 129,923
The GCF of 563,309 is 1 .
LCM of 129,923 is 119067.
The greatest common factor of 563/129,309/923 = [GCF of 563,309]/[LCM of 129,923]= 1/119067
Therefore, the GCF of 563/129,309/923 is 1/119067.
To find the highest common factor of 563,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 563 are 1, 563
The factors of 309 are 1, 3, 103, 309
The HCF of 563,309 is 1.
Lets's calculate GCF of 563,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 563,309 By Matching Biggest Common Factor Method
Now, list down the factors of 563
:1,563
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 563,309 . The biggest common factor number is the GCF number.
So the greatest common factor 563,309 is 1.
Lets's calculate LCM of 129,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 119067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119067
Therefore, the GCF of Fractions 563/129,309/923 is 1/119067
Least Common Multiple of 129,923 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 129,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,923) x common factors =1 x 1 = 1
LCM(129,923) = ( 129 × 923 ) / 1
LCM(129,923) = 119067 / 1
LCM(129,923) = 119067
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FAQs on GCF of Fractions of 563/129, 309/923
1. What is the HCF of 563,309?
The HCF of 563,309 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 563/129, 309/923?
Answer: GCF of Numerators as per given numbers 563/129, 309/923 is
GCF of Numerators i.e. for 563,309 is 1
LCM of denominators i.e. for 129,923 is 119067.
Thus, GCF of Fractions is 1/119067.Finally, GCF of Fractions for 563/129, 309/923 is 1/119067.