GCF of 2814/654, 7296/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2814/654, 7296/890 i.e 6/291030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2814/654, 7296/890.
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 2814/654,7296/890?
Given fractions are 2814/654,7296/890
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 2814/654,7296/890, numerators are 2814,7296
Denominators are 654,890
The GCF of 2814,7296 is 6 .
LCM of 654,890 is 291030.
The greatest common factor of 2814/654,7296/890 = [GCF of 2814,7296]/[LCM of 654,890]= 6/291030
Therefore, the GCF of 2814/654,7296/890 is 6/291030.
To find the highest common factor of 2814,7296, we have to find the factors of both numbers and list the highest common factor.
The factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The HCF of 2814,7296 is 6.
Lets's calculate GCF of 2814,7296
| 2 | 2814, 7296 |
| 3 | 1407, 3648 |
| 469, 1216 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2814,7296 By Matching Biggest Common Factor Method
Now, list down the factors of 2814
:1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Greatest Common Factor
We found the factors 2814,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 2814,7296 is 6.
Lets's calculate LCM of 654,890
| 2 | 654, 890 |
| 327, 445 |
∴ So the LCM of the given numbers is 2 x 327 x 445 = 291030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/291030
Therefore, the GCF of Fractions 2814/654,7296/890 is 6/291030
Least Common Multiple of 654,890 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 654,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,890) x common factors =2 x 1 = 2
LCM(654,890) = ( 654 × 890 ) / 2
LCM(654,890) = 582060 / 2
LCM(654,890) = 291030
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FAQs on GCF of Fractions of 2814/654, 7296/890
1. What is the HCF of 2814,7296?
The HCF of 2814,7296 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 2814/654, 7296/890?
Answer: GCF of Numerators as per given numbers 2814/654, 7296/890 is
GCF of Numerators i.e. for 2814,7296 is 6
LCM of denominators i.e. for 654,890 is 291030.
Thus, GCF of Fractions is 6/291030.Finally, GCF of Fractions for 2814/654, 7296/890 is 6/291030.