GCF of 5194/228, 8586/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5194/228, 8586/831 i.e 106/63156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5194/228, 8586/831.
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 5194/228,8586/831?
Given fractions are 5194/228,8586/831
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 5194/228,8586/831, numerators are 5194,8586
Denominators are 228,831
The GCF of 5194,8586 is 106 .
LCM of 228,831 is 63156.
The greatest common factor of 5194/228,8586/831 = [GCF of 5194,8586]/[LCM of 228,831]= 106/63156
Therefore, the GCF of 5194/228,8586/831 is 106/63156.
To find the highest common factor of 5194,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 5194,8586 is 106.
Lets's calculate GCF of 5194,8586
| 2 | 5194, 8586 |
| 53 | 2597, 4293 |
| 49, 81 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 5194,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 5194
:1,2,7,14,49,53,98,106,371,742,2597,5194
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 5194,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 5194,8586 is 106.
Lets's calculate LCM of 228,831
| 3 | 228, 831 |
| 76, 277 |
∴ So the LCM of the given numbers is 3 x 76 x 277 = 63156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/63156
Therefore, the GCF of Fractions 5194/228,8586/831 is 106/63156
Least Common Multiple of 228,831 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 228,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,831) x common factors =3 x 1 = 3
LCM(228,831) = ( 228 × 831 ) / 3
LCM(228,831) = 189468 / 3
LCM(228,831) = 63156
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FAQs on GCF of Fractions of 5194/228, 8586/831
1. What is the HCF of 5194,8586?
The HCF of 5194,8586 is 106
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 5194/228, 8586/831?
Answer: GCF of Numerators as per given numbers 5194/228, 8586/831 is
GCF of Numerators i.e. for 5194,8586 is 106
LCM of denominators i.e. for 228,831 is 63156.
Thus, GCF of Fractions is 106/63156.Finally, GCF of Fractions for 5194/228, 8586/831 is 106/63156.