GCF of 2588/275, 6736/8956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2588/275, 6736/8956 i.e 4/2462900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2588/275, 6736/8956.
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 2588/275,6736/8956?
Given fractions are 2588/275,6736/8956
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 2588/275,6736/8956, numerators are 2588,6736
Denominators are 275,8956
The GCF of 2588,6736 is 4 .
LCM of 275,8956 is 2462900.
The greatest common factor of 2588/275,6736/8956 = [GCF of 2588,6736]/[LCM of 275,8956]= 4/2462900
Therefore, the GCF of 2588/275,6736/8956 is 4/2462900.
To find the highest common factor of 2588,6736, 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 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 2588,6736 is 4.
Lets's calculate GCF of 2588,6736
| 2 | 2588, 6736 |
| 2 | 1294, 3368 |
| 647, 1684 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2588,6736 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 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 2588,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 2588,6736 is 4.
Lets's calculate LCM of 275,8956
Given numbers has no common factors except 1. So, there LCM is their product i.e 2462900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2462900
Therefore, the GCF of Fractions 2588/275,6736/8956 is 4/2462900
Least Common Multiple of 275,8956 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 275,8956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,8956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,8956) x common factors =1 x 1 = 1
LCM(275,8956) = ( 275 × 8956 ) / 1
LCM(275,8956) = 2462900 / 1
LCM(275,8956) = 2462900
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FAQs on GCF of Fractions of 2588/275, 6736/8956
1. What is the HCF of 2588,6736?
The HCF of 2588,6736 is 4
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 2588/275, 6736/8956?
Answer: GCF of Numerators as per given numbers 2588/275, 6736/8956 is
GCF of Numerators i.e. for 2588,6736 is 4
LCM of denominators i.e. for 275,8956 is 2462900.
Thus, GCF of Fractions is 4/2462900.Finally, GCF of Fractions for 2588/275, 6736/8956 is 4/2462900.