GCF of 2588/429, 2486/6587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2588/429, 2486/6587 i.e 2/2825823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2588/429, 2486/6587.
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 2588/429,2486/6587?
Given fractions are 2588/429,2486/6587
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 2588/429,2486/6587, numerators are 2588,2486
Denominators are 429,6587
The GCF of 2588,2486 is 2 .
LCM of 429,6587 is 2825823.
The greatest common factor of 2588/429,2486/6587 = [GCF of 2588,2486]/[LCM of 429,6587]= 2/2825823
Therefore, the GCF of 2588/429,2486/6587 is 2/2825823.
To find the highest common factor of 2588,2486, we have to find the factors of both numbers and list the highest common factor.
The factors of 2588 are 1, 2, 4, 647, 1294, 2588
The factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486
The HCF of 2588,2486 is 2.
Lets's calculate GCF of 2588,2486
| 2 | 2588, 2486 |
| 1294, 1243 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2588,2486 By Matching Biggest Common Factor Method
Now, list down the factors of 2588
:1,2,4,647,1294,2588
Now, list down the factors of 2486
:1,2,11,22,113,226,1243,2486
Greatest Common Factor
We found the factors 2588,2486 . The biggest common factor number is the GCF number.
So the greatest common factor 2588,2486 is 2.
Lets's calculate LCM of 429,6587
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2825823
Therefore, the GCF of Fractions 2588/429,2486/6587 is 2/2825823
Least Common Multiple of 429,6587 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 429,6587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,6587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,6587) x common factors =1 x 1 = 1
LCM(429,6587) = ( 429 × 6587 ) / 1
LCM(429,6587) = 2825823 / 1
LCM(429,6587) = 2825823
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FAQs on GCF of Fractions of 2588/429, 2486/6587
1. What is the HCF of 2588,2486?
The HCF of 2588,2486 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 2588/429, 2486/6587?
Answer: GCF of Numerators as per given numbers 2588/429, 2486/6587 is
GCF of Numerators i.e. for 2588,2486 is 2
LCM of denominators i.e. for 429,6587 is 2825823.
Thus, GCF of Fractions is 2/2825823.Finally, GCF of Fractions for 2588/429, 2486/6587 is 2/2825823.