GCF of 9630/228, 6314/5510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9630/228, 6314/5510 i.e 2/33060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9630/228, 6314/5510.
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 9630/228,6314/5510?
Given fractions are 9630/228,6314/5510
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 9630/228,6314/5510, numerators are 9630,6314
Denominators are 228,5510
The GCF of 9630,6314 is 2 .
LCM of 228,5510 is 33060.
The greatest common factor of 9630/228,6314/5510 = [GCF of 9630,6314]/[LCM of 228,5510]= 2/33060
Therefore, the GCF of 9630/228,6314/5510 is 2/33060.
To find the highest common factor of 9630,6314, we have to find the factors of both numbers and list the highest common factor.
The factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
The factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314
The HCF of 9630,6314 is 2.
Lets's calculate GCF of 9630,6314
| 2 | 9630, 6314 |
| 4815, 3157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9630,6314 By Matching Biggest Common Factor Method
Now, list down the factors of 9630
:1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630
Now, list down the factors of 6314
:1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314
Greatest Common Factor
We found the factors 9630,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 9630,6314 is 2.
Lets's calculate LCM of 228,5510
| 2 | 228, 5510 |
| 19 | 114, 2755 |
| 6, 145 |
∴ So the LCM of the given numbers is 2 x 19 x 6 x 145 = 33060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33060
Therefore, the GCF of Fractions 9630/228,6314/5510 is 2/33060
Least Common Multiple of 228,5510 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 228,5510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,5510) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(228,5510) x common factors =38 x 1 = 38
LCM(228,5510) = ( 228 × 5510 ) / 38
LCM(228,5510) = 1256280 / 38
LCM(228,5510) = 33060
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FAQs on GCF of Fractions of 9630/228, 6314/5510
1. What is the HCF of 9630,6314?
The HCF of 9630,6314 is 2
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 9630/228, 6314/5510?
Answer: GCF of Numerators as per given numbers 9630/228, 6314/5510 is
GCF of Numerators i.e. for 9630,6314 is 2
LCM of denominators i.e. for 228,5510 is 33060.
Thus, GCF of Fractions is 2/33060.Finally, GCF of Fractions for 9630/228, 6314/5510 is 2/33060.