GCF of 4114/466, 2193/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4114/466, 2193/204 i.e 17/47532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4114/466, 2193/204.
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 4114/466,2193/204?
Given fractions are 4114/466,2193/204
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 4114/466,2193/204, numerators are 4114,2193
Denominators are 466,204
The GCF of 4114,2193 is 17 .
LCM of 466,204 is 47532.
The greatest common factor of 4114/466,2193/204 = [GCF of 4114,2193]/[LCM of 466,204]= 17/47532
Therefore, the GCF of 4114/466,2193/204 is 17/47532.
To find the highest common factor of 4114,2193, we have to find the factors of both numbers and list the highest common factor.
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193
The HCF of 4114,2193 is 17.
Lets's calculate GCF of 4114,2193
| 17 | 4114, 2193 |
| 242, 129 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 4114,2193 By Matching Biggest Common Factor Method
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Now, list down the factors of 2193
:1,3,17,43,51,129,731,2193
Greatest Common Factor
We found the factors 4114,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 4114,2193 is 17.
Lets's calculate LCM of 466,204
| 2 | 466, 204 |
| 233, 102 |
∴ So the LCM of the given numbers is 2 x 233 x 102 = 47532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/47532
Therefore, the GCF of Fractions 4114/466,2193/204 is 17/47532
Least Common Multiple of 466,204 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 466,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,204) x common factors =2 x 1 = 2
LCM(466,204) = ( 466 × 204 ) / 2
LCM(466,204) = 95064 / 2
LCM(466,204) = 47532
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FAQs on GCF of Fractions of 4114/466, 2193/204
1. What is the HCF of 4114,2193?
The HCF of 4114,2193 is 17
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 4114/466, 2193/204?
Answer: GCF of Numerators as per given numbers 4114/466, 2193/204 is
GCF of Numerators i.e. for 4114,2193 is 17
LCM of denominators i.e. for 466,204 is 47532.
Thus, GCF of Fractions is 17/47532.Finally, GCF of Fractions for 4114/466, 2193/204 is 17/47532.