GCF of 5154/663, 4095/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5154/663, 4095/718 i.e 3/476034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5154/663, 4095/718.
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 5154/663,4095/718?
Given fractions are 5154/663,4095/718
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 5154/663,4095/718, numerators are 5154,4095
Denominators are 663,718
The GCF of 5154,4095 is 3 .
LCM of 663,718 is 476034.
The greatest common factor of 5154/663,4095/718 = [GCF of 5154,4095]/[LCM of 663,718]= 3/476034
Therefore, the GCF of 5154/663,4095/718 is 3/476034.
To find the highest common factor of 5154,4095, we have to find the factors of both numbers and list the highest common factor.
The factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154
The factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
The HCF of 5154,4095 is 3.
Lets's calculate GCF of 5154,4095
| 3 | 5154, 4095 |
| 1718, 1365 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5154,4095 By Matching Biggest Common Factor Method
Now, list down the factors of 5154
:1,2,3,6,859,1718,2577,5154
Now, list down the factors of 4095
:1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095
Greatest Common Factor
We found the factors 5154,4095 . The biggest common factor number is the GCF number.
So the greatest common factor 5154,4095 is 3.
Lets's calculate LCM of 663,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 476034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/476034
Therefore, the GCF of Fractions 5154/663,4095/718 is 3/476034
Least Common Multiple of 663,718 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 663,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,718) x common factors =1 x 1 = 1
LCM(663,718) = ( 663 × 718 ) / 1
LCM(663,718) = 476034 / 1
LCM(663,718) = 476034
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FAQs on GCF of Fractions of 5154/663, 4095/718
1. What is the HCF of 5154,4095?
The HCF of 5154,4095 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 5154/663, 4095/718?
Answer: GCF of Numerators as per given numbers 5154/663, 4095/718 is
GCF of Numerators i.e. for 5154,4095 is 3
LCM of denominators i.e. for 663,718 is 476034.
Thus, GCF of Fractions is 3/476034.Finally, GCF of Fractions for 5154/663, 4095/718 is 3/476034.