GCF of 5586/343, 3186/4025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5586/343, 3186/4025 i.e 6/197225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5586/343, 3186/4025.
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 5586/343,3186/4025?
Given fractions are 5586/343,3186/4025
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 5586/343,3186/4025, numerators are 5586,3186
Denominators are 343,4025
The GCF of 5586,3186 is 6 .
LCM of 343,4025 is 197225.
The greatest common factor of 5586/343,3186/4025 = [GCF of 5586,3186]/[LCM of 343,4025]= 6/197225
Therefore, the GCF of 5586/343,3186/4025 is 6/197225.
To find the highest common factor of 5586,3186, we have to find the factors of both numbers and list the highest common factor.
The factors of 5586 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586
The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
The HCF of 5586,3186 is 6.
Lets's calculate GCF of 5586,3186
| 2 | 5586, 3186 |
| 3 | 2793, 1593 |
| 931, 531 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5586,3186 By Matching Biggest Common Factor Method
Now, list down the factors of 5586
:1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586
Now, list down the factors of 3186
:1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Greatest Common Factor
We found the factors 5586,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 5586,3186 is 6.
Lets's calculate LCM of 343,4025
| 7 | 343, 4025 |
| 49, 575 |
∴ So the LCM of the given numbers is 7 x 49 x 575 = 197225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/197225
Therefore, the GCF of Fractions 5586/343,3186/4025 is 6/197225
Least Common Multiple of 343,4025 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 343,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,4025) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(343,4025) x common factors =7 x 1 = 7
LCM(343,4025) = ( 343 × 4025 ) / 7
LCM(343,4025) = 1380575 / 7
LCM(343,4025) = 197225
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FAQs on GCF of Fractions of 5586/343, 3186/4025
1. What is the HCF of 5586,3186?
The HCF of 5586,3186 is 6
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 5586/343, 3186/4025?
Answer: GCF of Numerators as per given numbers 5586/343, 3186/4025 is
GCF of Numerators i.e. for 5586,3186 is 6
LCM of denominators i.e. for 343,4025 is 197225.
Thus, GCF of Fractions is 6/197225.Finally, GCF of Fractions for 5586/343, 3186/4025 is 6/197225.