GCF of 2910/319, 6912/7633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2910/319, 6912/7633 i.e 6/2434927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2910/319, 6912/7633.
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 2910/319,6912/7633?
Given fractions are 2910/319,6912/7633
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 2910/319,6912/7633, numerators are 2910,6912
Denominators are 319,7633
The GCF of 2910,6912 is 6 .
LCM of 319,7633 is 2434927.
The greatest common factor of 2910/319,6912/7633 = [GCF of 2910,6912]/[LCM of 319,7633]= 6/2434927
Therefore, the GCF of 2910/319,6912/7633 is 6/2434927.
To find the highest common factor of 2910,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
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 2910,6912 is 6.
Lets's calculate GCF of 2910,6912
| 2 | 2910, 6912 |
| 3 | 1455, 3456 |
| 485, 1152 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2910,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 2910
:1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
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 2910,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 2910,6912 is 6.
Lets's calculate LCM of 319,7633
Given numbers has no common factors except 1. So, there LCM is their product i.e 2434927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2434927
Therefore, the GCF of Fractions 2910/319,6912/7633 is 6/2434927
Least Common Multiple of 319,7633 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 319,7633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,7633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,7633) x common factors =1 x 1 = 1
LCM(319,7633) = ( 319 × 7633 ) / 1
LCM(319,7633) = 2434927 / 1
LCM(319,7633) = 2434927
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FAQs on GCF of Fractions of 2910/319, 6912/7633
1. What is the HCF of 2910,6912?
The HCF of 2910,6912 is 6
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 2910/319, 6912/7633?
Answer: GCF of Numerators as per given numbers 2910/319, 6912/7633 is
GCF of Numerators i.e. for 2910,6912 is 6
LCM of denominators i.e. for 319,7633 is 2434927.
Thus, GCF of Fractions is 6/2434927.Finally, GCF of Fractions for 2910/319, 6912/7633 is 6/2434927.