GCF of 9615/498, 5670/6146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9615/498, 5670/6146 i.e 15/1530354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9615/498, 5670/6146.
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 9615/498,5670/6146?
Given fractions are 9615/498,5670/6146
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 9615/498,5670/6146, numerators are 9615,5670
Denominators are 498,6146
The GCF of 9615,5670 is 15 .
LCM of 498,6146 is 1530354.
The greatest common factor of 9615/498,5670/6146 = [GCF of 9615,5670]/[LCM of 498,6146]= 15/1530354
Therefore, the GCF of 9615/498,5670/6146 is 15/1530354.
To find the highest common factor of 9615,5670, we have to find the factors of both numbers and list the highest common factor.
The factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The HCF of 9615,5670 is 15.
Lets's calculate GCF of 9615,5670
| 3 | 9615, 5670 |
| 5 | 3205, 1890 |
| 641, 378 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9615,5670 By Matching Biggest Common Factor Method
Now, list down the factors of 9615
:1,3,5,15,641,1923,3205,9615
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 9615,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 9615,5670 is 15.
Lets's calculate LCM of 498,6146
| 2 | 498, 6146 |
| 249, 3073 |
∴ So the LCM of the given numbers is 2 x 249 x 3073 = 1530354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1530354
Therefore, the GCF of Fractions 9615/498,5670/6146 is 15/1530354
Least Common Multiple of 498,6146 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 498,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,6146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,6146) x common factors =2 x 1 = 2
LCM(498,6146) = ( 498 × 6146 ) / 2
LCM(498,6146) = 3060708 / 2
LCM(498,6146) = 1530354
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FAQs on GCF of Fractions of 9615/498, 5670/6146
1. What is the HCF of 9615,5670?
The HCF of 9615,5670 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 9615/498, 5670/6146?
Answer: GCF of Numerators as per given numbers 9615/498, 5670/6146 is
GCF of Numerators i.e. for 9615,5670 is 15
LCM of denominators i.e. for 498,6146 is 1530354.
Thus, GCF of Fractions is 15/1530354.Finally, GCF of Fractions for 9615/498, 5670/6146 is 15/1530354.