GCF of 1588/556, 8394/6600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1588/556, 8394/6600 i.e 2/917400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1588/556, 8394/6600.
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 1588/556,8394/6600?
Given fractions are 1588/556,8394/6600
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 1588/556,8394/6600, numerators are 1588,8394
Denominators are 556,6600
The GCF of 1588,8394 is 2 .
LCM of 556,6600 is 917400.
The greatest common factor of 1588/556,8394/6600 = [GCF of 1588,8394]/[LCM of 556,6600]= 2/917400
Therefore, the GCF of 1588/556,8394/6600 is 2/917400.
To find the highest common factor of 1588,8394, we have to find the factors of both numbers and list the highest common factor.
The factors of 1588 are 1, 2, 4, 397, 794, 1588
The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394
The HCF of 1588,8394 is 2.
Lets's calculate GCF of 1588,8394
| 2 | 1588, 8394 |
| 794, 4197 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1588,8394 By Matching Biggest Common Factor Method
Now, list down the factors of 1588
:1,2,4,397,794,1588
Now, list down the factors of 8394
:1,2,3,6,1399,2798,4197,8394
Greatest Common Factor
We found the factors 1588,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 1588,8394 is 2.
Lets's calculate LCM of 556,6600
| 2 | 556, 6600 |
| 2 | 278, 3300 |
| 139, 1650 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 1650 = 917400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/917400
Therefore, the GCF of Fractions 1588/556,8394/6600 is 2/917400
Least Common Multiple of 556,6600 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 556,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,6600) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,6600) x common factors =4 x 1 = 4
LCM(556,6600) = ( 556 × 6600 ) / 4
LCM(556,6600) = 3669600 / 4
LCM(556,6600) = 917400
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FAQs on GCF of Fractions of 1588/556, 8394/6600
1. What is the HCF of 1588,8394?
The HCF of 1588,8394 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 1588/556, 8394/6600?
Answer: GCF of Numerators as per given numbers 1588/556, 8394/6600 is
GCF of Numerators i.e. for 1588,8394 is 2
LCM of denominators i.e. for 556,6600 is 917400.
Thus, GCF of Fractions is 2/917400.Finally, GCF of Fractions for 1588/556, 8394/6600 is 2/917400.