GCF of 4179/189, 1830/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4179/189, 1830/212 i.e 3/40068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4179/189, 1830/212.
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 4179/189,1830/212?
Given fractions are 4179/189,1830/212
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 4179/189,1830/212, numerators are 4179,1830
Denominators are 189,212
The GCF of 4179,1830 is 3 .
LCM of 189,212 is 40068.
The greatest common factor of 4179/189,1830/212 = [GCF of 4179,1830]/[LCM of 189,212]= 3/40068
Therefore, the GCF of 4179/189,1830/212 is 3/40068.
To find the highest common factor of 4179,1830, we have to find the factors of both numbers and list the highest common factor.
The factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The HCF of 4179,1830 is 3.
Lets's calculate GCF of 4179,1830
| 3 | 4179, 1830 |
| 1393, 610 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4179,1830 By Matching Biggest Common Factor Method
Now, list down the factors of 4179
:1,3,7,21,199,597,1393,4179
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors 4179,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 4179,1830 is 3.
Lets's calculate LCM of 189,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 40068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40068
Therefore, the GCF of Fractions 4179/189,1830/212 is 3/40068
Least Common Multiple of 189,212 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 189,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,212) x common factors =1 x 1 = 1
LCM(189,212) = ( 189 × 212 ) / 1
LCM(189,212) = 40068 / 1
LCM(189,212) = 40068
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FAQs on GCF of Fractions of 4179/189, 1830/212
1. What is the HCF of 4179,1830?
The HCF of 4179,1830 is 3
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 4179/189, 1830/212?
Answer: GCF of Numerators as per given numbers 4179/189, 1830/212 is
GCF of Numerators i.e. for 4179,1830 is 3
LCM of denominators i.e. for 189,212 is 40068.
Thus, GCF of Fractions is 3/40068.Finally, GCF of Fractions for 4179/189, 1830/212 is 3/40068.