GCF of 204/362, 238/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 204/362, 238/623 i.e 34/225526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/362, 238/623.
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 204/362,238/623?
Given fractions are 204/362,238/623
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 204/362,238/623, numerators are 204,238
Denominators are 362,623
The GCF of 204,238 is 34 .
LCM of 362,623 is 225526.
The greatest common factor of 204/362,238/623 = [GCF of 204,238]/[LCM of 362,623]= 34/225526
Therefore, the GCF of 204/362,238/623 is 34/225526.
To find the highest common factor of 204,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 204,238 is 34.
Lets's calculate GCF of 204,238
| 2 | 204, 238 |
| 17 | 102, 119 |
| 6, 7 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 204,238 By Matching Biggest Common Factor Method
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 204,238 . The biggest common factor number is the GCF number.
So the greatest common factor 204,238 is 34.
Lets's calculate LCM of 362,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 225526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/225526
Therefore, the GCF of Fractions 204/362,238/623 is 34/225526
Least Common Multiple of 362,623 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 362,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,623) x common factors =1 x 1 = 1
LCM(362,623) = ( 362 × 623 ) / 1
LCM(362,623) = 225526 / 1
LCM(362,623) = 225526
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FAQs on GCF of Fractions of 204/362, 238/623
1. What is the HCF of 204,238?
The HCF of 204,238 is 34
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 204/362, 238/623?
Answer: GCF of Numerators as per given numbers 204/362, 238/623 is
GCF of Numerators i.e. for 204,238 is 34
LCM of denominators i.e. for 362,623 is 225526.
Thus, GCF of Fractions is 34/225526.Finally, GCF of Fractions for 204/362, 238/623 is 34/225526.