GCF of 2638/451, 9576/2866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2638/451, 9576/2866 i.e 2/1292566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2638/451, 9576/2866.
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 2638/451,9576/2866?
Given fractions are 2638/451,9576/2866
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 2638/451,9576/2866, numerators are 2638,9576
Denominators are 451,2866
The GCF of 2638,9576 is 2 .
LCM of 451,2866 is 1292566.
The greatest common factor of 2638/451,9576/2866 = [GCF of 2638,9576]/[LCM of 451,2866]= 2/1292566
Therefore, the GCF of 2638/451,9576/2866 is 2/1292566.
To find the highest common factor of 2638,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 2638 are 1, 2, 1319, 2638
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 2638,9576 is 2.
Lets's calculate GCF of 2638,9576
| 2 | 2638, 9576 |
| 1319, 4788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2638,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 2638
:1,2,1319,2638
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 2638,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,9576 is 2.
Lets's calculate LCM of 451,2866
Given numbers has no common factors except 1. So, there LCM is their product i.e 1292566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1292566
Therefore, the GCF of Fractions 2638/451,9576/2866 is 2/1292566
Least Common Multiple of 451,2866 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 451,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,2866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,2866) x common factors =1 x 1 = 1
LCM(451,2866) = ( 451 × 2866 ) / 1
LCM(451,2866) = 1292566 / 1
LCM(451,2866) = 1292566
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FAQs on GCF of Fractions of 2638/451, 9576/2866
1. What is the HCF of 2638,9576?
The HCF of 2638,9576 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 2638/451, 9576/2866?
Answer: GCF of Numerators as per given numbers 2638/451, 9576/2866 is
GCF of Numerators i.e. for 2638,9576 is 2
LCM of denominators i.e. for 451,2866 is 1292566.
Thus, GCF of Fractions is 2/1292566.Finally, GCF of Fractions for 2638/451, 9576/2866 is 2/1292566.