GCF of 6665/452, 4836/4050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6665/452, 4836/4050 i.e 31/915300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6665/452, 4836/4050.
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 6665/452,4836/4050?
Given fractions are 6665/452,4836/4050
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 6665/452,4836/4050, numerators are 6665,4836
Denominators are 452,4050
The GCF of 6665,4836 is 31 .
LCM of 452,4050 is 915300.
The greatest common factor of 6665/452,4836/4050 = [GCF of 6665,4836]/[LCM of 452,4050]= 31/915300
Therefore, the GCF of 6665/452,4836/4050 is 31/915300.
To find the highest common factor of 6665,4836, we have to find the factors of both numbers and list the highest common factor.
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836
The HCF of 6665,4836 is 31.
Lets's calculate GCF of 6665,4836
| 31 | 6665, 4836 |
| 215, 156 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 6665,4836 By Matching Biggest Common Factor Method
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Now, list down the factors of 4836
:1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Greatest Common Factor
We found the factors 6665,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,4836 is 31.
Lets's calculate LCM of 452,4050
| 2 | 452, 4050 |
| 226, 2025 |
∴ So the LCM of the given numbers is 2 x 226 x 2025 = 915300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/915300
Therefore, the GCF of Fractions 6665/452,4836/4050 is 31/915300
Least Common Multiple of 452,4050 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 452,4050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,4050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,4050) x common factors =2 x 1 = 2
LCM(452,4050) = ( 452 × 4050 ) / 2
LCM(452,4050) = 1830600 / 2
LCM(452,4050) = 915300
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FAQs on GCF of Fractions of 6665/452, 4836/4050
1. What is the HCF of 6665,4836?
The HCF of 6665,4836 is 31
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 6665/452, 4836/4050?
Answer: GCF of Numerators as per given numbers 6665/452, 4836/4050 is
GCF of Numerators i.e. for 6665,4836 is 31
LCM of denominators i.e. for 452,4050 is 915300.
Thus, GCF of Fractions is 31/915300.Finally, GCF of Fractions for 6665/452, 4836/4050 is 31/915300.