GCF of 7050/414, 4995/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7050/414, 4995/558 i.e 15/12834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7050/414, 4995/558.
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 7050/414,4995/558?
Given fractions are 7050/414,4995/558
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 7050/414,4995/558, numerators are 7050,4995
Denominators are 414,558
The GCF of 7050,4995 is 15 .
LCM of 414,558 is 12834.
The greatest common factor of 7050/414,4995/558 = [GCF of 7050,4995]/[LCM of 414,558]= 15/12834
Therefore, the GCF of 7050/414,4995/558 is 15/12834.
To find the highest common factor of 7050,4995, we have to find the factors of both numbers and list the highest common factor.
The factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050
The factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995
The HCF of 7050,4995 is 15.
Lets's calculate GCF of 7050,4995
| 3 | 7050, 4995 |
| 5 | 2350, 1665 |
| 470, 333 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7050,4995 By Matching Biggest Common Factor Method
Now, list down the factors of 7050
:1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050
Now, list down the factors of 4995
:1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Greatest Common Factor
We found the factors 7050,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 7050,4995 is 15.
Lets's calculate LCM of 414,558
| 2 | 414, 558 |
| 3 | 207, 279 |
| 3 | 69, 93 |
| 23, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 31 = 12834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/12834
Therefore, the GCF of Fractions 7050/414,4995/558 is 15/12834
Least Common Multiple of 414,558 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 414,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,558) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(414,558) x common factors =18 x 1 = 18
LCM(414,558) = ( 414 × 558 ) / 18
LCM(414,558) = 231012 / 18
LCM(414,558) = 12834
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FAQs on GCF of Fractions of 7050/414, 4995/558
1. What is the HCF of 7050,4995?
The HCF of 7050,4995 is 15
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 7050/414, 4995/558?
Answer: GCF of Numerators as per given numbers 7050/414, 4995/558 is
GCF of Numerators i.e. for 7050,4995 is 15
LCM of denominators i.e. for 414,558 is 12834.
Thus, GCF of Fractions is 15/12834.Finally, GCF of Fractions for 7050/414, 4995/558 is 15/12834.