GCF of 4809/124, 3162/3430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4809/124, 3162/3430 i.e 3/212660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4809/124, 3162/3430.
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 4809/124,3162/3430?
Given fractions are 4809/124,3162/3430
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 4809/124,3162/3430, numerators are 4809,3162
Denominators are 124,3430
The GCF of 4809,3162 is 3 .
LCM of 124,3430 is 212660.
The greatest common factor of 4809/124,3162/3430 = [GCF of 4809,3162]/[LCM of 124,3430]= 3/212660
Therefore, the GCF of 4809/124,3162/3430 is 3/212660.
To find the highest common factor of 4809,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 4809,3162 is 3.
Lets's calculate GCF of 4809,3162
| 3 | 4809, 3162 |
| 1603, 1054 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4809,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 4809
:1,3,7,21,229,687,1603,4809
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 4809,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 4809,3162 is 3.
Lets's calculate LCM of 124,3430
| 2 | 124, 3430 |
| 62, 1715 |
∴ So the LCM of the given numbers is 2 x 62 x 1715 = 212660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/212660
Therefore, the GCF of Fractions 4809/124,3162/3430 is 3/212660
Least Common Multiple of 124,3430 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 124,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,3430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,3430) x common factors =2 x 1 = 2
LCM(124,3430) = ( 124 × 3430 ) / 2
LCM(124,3430) = 425320 / 2
LCM(124,3430) = 212660
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FAQs on GCF of Fractions of 4809/124, 3162/3430
1. What is the HCF of 4809,3162?
The HCF of 4809,3162 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 4809/124, 3162/3430?
Answer: GCF of Numerators as per given numbers 4809/124, 3162/3430 is
GCF of Numerators i.e. for 4809,3162 is 3
LCM of denominators i.e. for 124,3430 is 212660.
Thus, GCF of Fractions is 3/212660.Finally, GCF of Fractions for 4809/124, 3162/3430 is 3/212660.