GCF of 1140/331, 4113/6165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1140/331, 4113/6165 i.e 3/2040615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1140/331, 4113/6165.
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 1140/331,4113/6165?
Given fractions are 1140/331,4113/6165
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 1140/331,4113/6165, numerators are 1140,4113
Denominators are 331,6165
The GCF of 1140,4113 is 3 .
LCM of 331,6165 is 2040615.
The greatest common factor of 1140/331,4113/6165 = [GCF of 1140,4113]/[LCM of 331,6165]= 3/2040615
Therefore, the GCF of 1140/331,4113/6165 is 3/2040615.
To find the highest common factor of 1140,4113, we have to find the factors of both numbers and list the highest common factor.
The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The HCF of 1140,4113 is 3.
Lets's calculate GCF of 1140,4113
| 3 | 1140, 4113 |
| 380, 1371 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1140,4113 By Matching Biggest Common Factor Method
Now, list down the factors of 1140
:1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Greatest Common Factor
We found the factors 1140,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 1140,4113 is 3.
Lets's calculate LCM of 331,6165
Given numbers has no common factors except 1. So, there LCM is their product i.e 2040615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2040615
Therefore, the GCF of Fractions 1140/331,4113/6165 is 3/2040615
Least Common Multiple of 331,6165 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 331,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,6165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,6165) x common factors =1 x 1 = 1
LCM(331,6165) = ( 331 × 6165 ) / 1
LCM(331,6165) = 2040615 / 1
LCM(331,6165) = 2040615
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FAQs on GCF of Fractions of 1140/331, 4113/6165
1. What is the HCF of 1140,4113?
The HCF of 1140,4113 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 1140/331, 4113/6165?
Answer: GCF of Numerators as per given numbers 1140/331, 4113/6165 is
GCF of Numerators i.e. for 1140,4113 is 3
LCM of denominators i.e. for 331,6165 is 2040615.
Thus, GCF of Fractions is 3/2040615.Finally, GCF of Fractions for 1140/331, 4113/6165 is 3/2040615.