GCF of 603/54, 238/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 603/54, 238/419 i.e 1/22626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/54, 238/419.
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 603/54,238/419?
Given fractions are 603/54,238/419
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 603/54,238/419, numerators are 603,238
Denominators are 54,419
The GCF of 603,238 is 1 .
LCM of 54,419 is 22626.
The greatest common factor of 603/54,238/419 = [GCF of 603,238]/[LCM of 54,419]= 1/22626
Therefore, the GCF of 603/54,238/419 is 1/22626.
To find the highest common factor of 603,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 603,238 is 1.
Lets's calculate GCF of 603,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 603,238 By Matching Biggest Common Factor Method
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 603,238 . The biggest common factor number is the GCF number.
So the greatest common factor 603,238 is 1.
Lets's calculate LCM of 54,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 22626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22626
Therefore, the GCF of Fractions 603/54,238/419 is 1/22626
Least Common Multiple of 54,419 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 54,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,419) x common factors =1 x 1 = 1
LCM(54,419) = ( 54 × 419 ) / 1
LCM(54,419) = 22626 / 1
LCM(54,419) = 22626
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FAQs on GCF of Fractions of 603/54, 238/419
1. What is the HCF of 603,238?
The HCF of 603,238 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 603/54, 238/419?
Answer: GCF of Numerators as per given numbers 603/54, 238/419 is
GCF of Numerators i.e. for 603,238 is 1
LCM of denominators i.e. for 54,419 is 22626.
Thus, GCF of Fractions is 1/22626.Finally, GCF of Fractions for 603/54, 238/419 is 1/22626.