GCF of 4116/311, 7413/1002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4116/311, 7413/1002 i.e 21/311622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4116/311, 7413/1002.
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 4116/311,7413/1002?
Given fractions are 4116/311,7413/1002
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 4116/311,7413/1002, numerators are 4116,7413
Denominators are 311,1002
The GCF of 4116,7413 is 21 .
LCM of 311,1002 is 311622.
The greatest common factor of 4116/311,7413/1002 = [GCF of 4116,7413]/[LCM of 311,1002]= 21/311622
Therefore, the GCF of 4116/311,7413/1002 is 21/311622.
To find the highest common factor of 4116,7413, we have to find the factors of both numbers and list the highest common factor.
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413
The HCF of 4116,7413 is 21.
Lets's calculate GCF of 4116,7413
| 3 | 4116, 7413 |
| 7 | 1372, 2471 |
| 196, 353 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4116,7413 By Matching Biggest Common Factor Method
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Now, list down the factors of 7413
:1,3,7,21,353,1059,2471,7413
Greatest Common Factor
We found the factors 4116,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 4116,7413 is 21.
Lets's calculate LCM of 311,1002
Given numbers has no common factors except 1. So, there LCM is their product i.e 311622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/311622
Therefore, the GCF of Fractions 4116/311,7413/1002 is 21/311622
Least Common Multiple of 311,1002 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 311,1002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,1002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,1002) x common factors =1 x 1 = 1
LCM(311,1002) = ( 311 × 1002 ) / 1
LCM(311,1002) = 311622 / 1
LCM(311,1002) = 311622
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FAQs on GCF of Fractions of 4116/311, 7413/1002
1. What is the HCF of 4116,7413?
The HCF of 4116,7413 is 21
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 4116/311, 7413/1002?
Answer: GCF of Numerators as per given numbers 4116/311, 7413/1002 is
GCF of Numerators i.e. for 4116,7413 is 21
LCM of denominators i.e. for 311,1002 is 311622.
Thus, GCF of Fractions is 21/311622.Finally, GCF of Fractions for 4116/311, 7413/1002 is 21/311622.