GCF of 3837/134, 4113/3092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3837/134, 4113/3092 i.e 3/207164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3837/134, 4113/3092.
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 3837/134,4113/3092?
Given fractions are 3837/134,4113/3092
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 3837/134,4113/3092, numerators are 3837,4113
Denominators are 134,3092
The GCF of 3837,4113 is 3 .
LCM of 134,3092 is 207164.
The greatest common factor of 3837/134,4113/3092 = [GCF of 3837,4113]/[LCM of 134,3092]= 3/207164
Therefore, the GCF of 3837/134,4113/3092 is 3/207164.
To find the highest common factor of 3837,4113, we have to find the factors of both numbers and list the highest common factor.
The factors of 3837 are 1, 3, 1279, 3837
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The HCF of 3837,4113 is 3.
Lets's calculate GCF of 3837,4113
| 3 | 3837, 4113 |
| 1279, 1371 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3837,4113 By Matching Biggest Common Factor Method
Now, list down the factors of 3837
:1,3,1279,3837
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Greatest Common Factor
We found the factors 3837,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 3837,4113 is 3.
Lets's calculate LCM of 134,3092
| 2 | 134, 3092 |
| 67, 1546 |
∴ So the LCM of the given numbers is 2 x 67 x 1546 = 207164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/207164
Therefore, the GCF of Fractions 3837/134,4113/3092 is 3/207164
Least Common Multiple of 134,3092 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 134,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,3092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,3092) x common factors =2 x 1 = 2
LCM(134,3092) = ( 134 × 3092 ) / 2
LCM(134,3092) = 414328 / 2
LCM(134,3092) = 207164
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FAQs on GCF of Fractions of 3837/134, 4113/3092
1. What is the HCF of 3837,4113?
The HCF of 3837,4113 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 3837/134, 4113/3092?
Answer: GCF of Numerators as per given numbers 3837/134, 4113/3092 is
GCF of Numerators i.e. for 3837,4113 is 3
LCM of denominators i.e. for 134,3092 is 207164.
Thus, GCF of Fractions is 3/207164.Finally, GCF of Fractions for 3837/134, 4113/3092 is 3/207164.