GCF of 197/606, 238/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/606, 238/229 i.e 1/138774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/606, 238/229.
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 197/606,238/229?
Given fractions are 197/606,238/229
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 197/606,238/229, numerators are 197,238
Denominators are 606,229
The GCF of 197,238 is 1 .
LCM of 606,229 is 138774.
The greatest common factor of 197/606,238/229 = [GCF of 197,238]/[LCM of 606,229]= 1/138774
Therefore, the GCF of 197/606,238/229 is 1/138774.
To find the highest common factor of 197,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 197,238 is 1.
Lets's calculate GCF of 197,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,238 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 197,238 . The biggest common factor number is the GCF number.
So the greatest common factor 197,238 is 1.
Lets's calculate LCM of 606,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 138774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138774
Therefore, the GCF of Fractions 197/606,238/229 is 1/138774
Least Common Multiple of 606,229 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 606,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,229) x common factors =1 x 1 = 1
LCM(606,229) = ( 606 × 229 ) / 1
LCM(606,229) = 138774 / 1
LCM(606,229) = 138774
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FAQs on GCF of Fractions of 197/606, 238/229
1. What is the HCF of 197,238?
The HCF of 197,238 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 197/606, 238/229?
Answer: GCF of Numerators as per given numbers 197/606, 238/229 is
GCF of Numerators i.e. for 197,238 is 1
LCM of denominators i.e. for 606,229 is 138774.
Thus, GCF of Fractions is 1/138774.Finally, GCF of Fractions for 197/606, 238/229 is 1/138774.