GCF of 6212/584, 2106/2162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6212/584, 2106/2162 i.e 2/631304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6212/584, 2106/2162.
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 6212/584,2106/2162?
Given fractions are 6212/584,2106/2162
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 6212/584,2106/2162, numerators are 6212,2106
Denominators are 584,2162
The GCF of 6212,2106 is 2 .
LCM of 584,2162 is 631304.
The greatest common factor of 6212/584,2106/2162 = [GCF of 6212,2106]/[LCM of 584,2162]= 2/631304
Therefore, the GCF of 6212/584,2106/2162 is 2/631304.
To find the highest common factor of 6212,2106, we have to find the factors of both numbers and list the highest common factor.
The factors of 6212 are 1, 2, 4, 1553, 3106, 6212
The factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106
The HCF of 6212,2106 is 2.
Lets's calculate GCF of 6212,2106
| 2 | 6212, 2106 |
| 3106, 1053 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6212,2106 By Matching Biggest Common Factor Method
Now, list down the factors of 6212
:1,2,4,1553,3106,6212
Now, list down the factors of 2106
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106
Greatest Common Factor
We found the factors 6212,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 6212,2106 is 2.
Lets's calculate LCM of 584,2162
| 2 | 584, 2162 |
| 292, 1081 |
∴ So the LCM of the given numbers is 2 x 292 x 1081 = 631304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/631304
Therefore, the GCF of Fractions 6212/584,2106/2162 is 2/631304
Least Common Multiple of 584,2162 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 584,2162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,2162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,2162) x common factors =2 x 1 = 2
LCM(584,2162) = ( 584 × 2162 ) / 2
LCM(584,2162) = 1262608 / 2
LCM(584,2162) = 631304
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FAQs on GCF of Fractions of 6212/584, 2106/2162
1. What is the HCF of 6212,2106?
The HCF of 6212,2106 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 6212/584, 2106/2162?
Answer: GCF of Numerators as per given numbers 6212/584, 2106/2162 is
GCF of Numerators i.e. for 6212,2106 is 2
LCM of denominators i.e. for 584,2162 is 631304.
Thus, GCF of Fractions is 2/631304.Finally, GCF of Fractions for 6212/584, 2106/2162 is 2/631304.