GCF of 1430/940, 4615/5317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1430/940, 4615/5317 i.e 65/4997980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1430/940, 4615/5317.
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 1430/940,4615/5317?
Given fractions are 1430/940,4615/5317
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 1430/940,4615/5317, numerators are 1430,4615
Denominators are 940,5317
The GCF of 1430,4615 is 65 .
LCM of 940,5317 is 4997980.
The greatest common factor of 1430/940,4615/5317 = [GCF of 1430,4615]/[LCM of 940,5317]= 65/4997980
Therefore, the GCF of 1430/940,4615/5317 is 65/4997980.
To find the highest common factor of 1430,4615, we have to find the factors of both numbers and list the highest common factor.
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615
The HCF of 1430,4615 is 65.
Lets's calculate GCF of 1430,4615
| 5 | 1430, 4615 |
| 13 | 286, 923 |
| 22, 71 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 1430,4615 By Matching Biggest Common Factor Method
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Now, list down the factors of 4615
:1,5,13,65,71,355,923,4615
Greatest Common Factor
We found the factors 1430,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,4615 is 65.
Lets's calculate LCM of 940,5317
Given numbers has no common factors except 1. So, there LCM is their product i.e 4997980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/4997980
Therefore, the GCF of Fractions 1430/940,4615/5317 is 65/4997980
Least Common Multiple of 940,5317 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 940,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,5317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,5317) x common factors =1 x 1 = 1
LCM(940,5317) = ( 940 × 5317 ) / 1
LCM(940,5317) = 4997980 / 1
LCM(940,5317) = 4997980
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FAQs on GCF of Fractions of 1430/940, 4615/5317
1. What is the HCF of 1430,4615?
The HCF of 1430,4615 is 65
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 1430/940, 4615/5317?
Answer: GCF of Numerators as per given numbers 1430/940, 4615/5317 is
GCF of Numerators i.e. for 1430,4615 is 65
LCM of denominators i.e. for 940,5317 is 4997980.
Thus, GCF of Fractions is 65/4997980.Finally, GCF of Fractions for 1430/940, 4615/5317 is 65/4997980.