GCF of 523/123, 3230/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 523/123, 3230/419 i.e 1/51537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/123, 3230/419.
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 523/123,3230/419?
Given fractions are 523/123,3230/419
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 523/123,3230/419, numerators are 523,3230
Denominators are 123,419
The GCF of 523,3230 is 1 .
LCM of 123,419 is 51537.
The greatest common factor of 523/123,3230/419 = [GCF of 523,3230]/[LCM of 123,419]= 1/51537
Therefore, the GCF of 523/123,3230/419 is 1/51537.
To find the highest common factor of 523,3230, 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 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230
The HCF of 523,3230 is 1.
Lets's calculate GCF of 523,3230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 523,3230 By Matching Biggest Common Factor Method
Now, list down the factors of 523
:1,523
Now, list down the factors of 3230
:1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230
Greatest Common Factor
We found the factors 523,3230 . The biggest common factor number is the GCF number.
So the greatest common factor 523,3230 is 1.
Lets's calculate LCM of 123,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 51537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51537
Therefore, the GCF of Fractions 523/123,3230/419 is 1/51537
Least Common Multiple of 123,419 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 123,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,419) x common factors =1 x 1 = 1
LCM(123,419) = ( 123 × 419 ) / 1
LCM(123,419) = 51537 / 1
LCM(123,419) = 51537
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FAQs on GCF of Fractions of 523/123, 3230/419
1. What is the HCF of 523,3230?
The HCF of 523,3230 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 523/123, 3230/419?
Answer: GCF of Numerators as per given numbers 523/123, 3230/419 is
GCF of Numerators i.e. for 523,3230 is 1
LCM of denominators i.e. for 123,419 is 51537.
Thus, GCF of Fractions is 1/51537.Finally, GCF of Fractions for 523/123, 3230/419 is 1/51537.