GCF of 2558/469, 9044/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2558/469, 9044/586 i.e 2/274834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2558/469, 9044/586.
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 2558/469,9044/586?
Given fractions are 2558/469,9044/586
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 2558/469,9044/586, numerators are 2558,9044
Denominators are 469,586
The GCF of 2558,9044 is 2 .
LCM of 469,586 is 274834.
The greatest common factor of 2558/469,9044/586 = [GCF of 2558,9044]/[LCM of 469,586]= 2/274834
Therefore, the GCF of 2558/469,9044/586 is 2/274834.
To find the highest common factor of 2558,9044, we have to find the factors of both numbers and list the highest common factor.
The factors of 2558 are 1, 2, 1279, 2558
The factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044
The HCF of 2558,9044 is 2.
Lets's calculate GCF of 2558,9044
| 2 | 2558, 9044 |
| 1279, 4522 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2558,9044 By Matching Biggest Common Factor Method
Now, list down the factors of 2558
:1,2,1279,2558
Now, list down the factors of 9044
:1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044
Greatest Common Factor
We found the factors 2558,9044 . The biggest common factor number is the GCF number.
So the greatest common factor 2558,9044 is 2.
Lets's calculate LCM of 469,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 274834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274834
Therefore, the GCF of Fractions 2558/469,9044/586 is 2/274834
Least Common Multiple of 469,586 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 469,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,586) x common factors =1 x 1 = 1
LCM(469,586) = ( 469 × 586 ) / 1
LCM(469,586) = 274834 / 1
LCM(469,586) = 274834
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FAQs on GCF of Fractions of 2558/469, 9044/586
1. What is the HCF of 2558,9044?
The HCF of 2558,9044 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 2558/469, 9044/586?
Answer: GCF of Numerators as per given numbers 2558/469, 9044/586 is
GCF of Numerators i.e. for 2558,9044 is 2
LCM of denominators i.e. for 469,586 is 274834.
Thus, GCF of Fractions is 2/274834.Finally, GCF of Fractions for 2558/469, 9044/586 is 2/274834.