GCF of 1395/114, 6912/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1395/114, 6912/580 i.e 9/33060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1395/114, 6912/580.
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 1395/114,6912/580?
Given fractions are 1395/114,6912/580
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 1395/114,6912/580, numerators are 1395,6912
Denominators are 114,580
The GCF of 1395,6912 is 9 .
LCM of 114,580 is 33060.
The greatest common factor of 1395/114,6912/580 = [GCF of 1395,6912]/[LCM of 114,580]= 9/33060
Therefore, the GCF of 1395/114,6912/580 is 9/33060.
To find the highest common factor of 1395,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The HCF of 1395,6912 is 9.
Lets's calculate GCF of 1395,6912
| 3 | 1395, 6912 |
| 3 | 465, 2304 |
| 155, 768 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1395,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Greatest Common Factor
We found the factors 1395,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 1395,6912 is 9.
Lets's calculate LCM of 114,580
| 2 | 114, 580 |
| 57, 290 |
∴ So the LCM of the given numbers is 2 x 57 x 290 = 33060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/33060
Therefore, the GCF of Fractions 1395/114,6912/580 is 9/33060
Least Common Multiple of 114,580 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 114,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,580) x common factors =2 x 1 = 2
LCM(114,580) = ( 114 × 580 ) / 2
LCM(114,580) = 66120 / 2
LCM(114,580) = 33060
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FAQs on GCF of Fractions of 1395/114, 6912/580
1. What is the HCF of 1395,6912?
The HCF of 1395,6912 is 9
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 1395/114, 6912/580?
Answer: GCF of Numerators as per given numbers 1395/114, 6912/580 is
GCF of Numerators i.e. for 1395,6912 is 9
LCM of denominators i.e. for 114,580 is 33060.
Thus, GCF of Fractions is 9/33060.Finally, GCF of Fractions for 1395/114, 6912/580 is 9/33060.