GCF of 503/19, 909/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 503/19, 909/852 i.e 1/16188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/19, 909/852.
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 503/19,909/852?
Given fractions are 503/19,909/852
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 503/19,909/852, numerators are 503,909
Denominators are 19,852
The GCF of 503,909 is 1 .
LCM of 19,852 is 16188.
The greatest common factor of 503/19,909/852 = [GCF of 503,909]/[LCM of 19,852]= 1/16188
Therefore, the GCF of 503/19,909/852 is 1/16188.
To find the highest common factor of 503,909, we have to find the factors of both numbers and list the highest common factor.
The factors of 503 are 1, 503
The factors of 909 are 1, 3, 9, 101, 303, 909
The HCF of 503,909 is 1.
Lets's calculate GCF of 503,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 503,909 By Matching Biggest Common Factor Method
Now, list down the factors of 503
:1,503
Now, list down the factors of 909
:1,3,9,101,303,909
Greatest Common Factor
We found the factors 503,909 . The biggest common factor number is the GCF number.
So the greatest common factor 503,909 is 1.
Lets's calculate LCM of 19,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 16188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16188
Therefore, the GCF of Fractions 503/19,909/852 is 1/16188
Least Common Multiple of 19,852 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 19,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,852) x common factors =1 x 1 = 1
LCM(19,852) = ( 19 × 852 ) / 1
LCM(19,852) = 16188 / 1
LCM(19,852) = 16188
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FAQs on GCF of Fractions of 503/19, 909/852
1. What is the HCF of 503,909?
The HCF of 503,909 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 503/19, 909/852?
Answer: GCF of Numerators as per given numbers 503/19, 909/852 is
GCF of Numerators i.e. for 503,909 is 1
LCM of denominators i.e. for 19,852 is 16188.
Thus, GCF of Fractions is 1/16188.Finally, GCF of Fractions for 503/19, 909/852 is 1/16188.