GCF of 3402/440, 2106/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3402/440, 2106/619 i.e 162/272360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3402/440, 2106/619.
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 3402/440,2106/619?
Given fractions are 3402/440,2106/619
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 3402/440,2106/619, numerators are 3402,2106
Denominators are 440,619
The GCF of 3402,2106 is 162 .
LCM of 440,619 is 272360.
The greatest common factor of 3402/440,2106/619 = [GCF of 3402,2106]/[LCM of 440,619]= 162/272360
Therefore, the GCF of 3402/440,2106/619 is 162/272360.
To find the highest common factor of 3402,2106, we have to find the factors of both numbers and list the highest common factor.
The factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402
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 3402,2106 is 162.
Lets's calculate GCF of 3402,2106
| 2 | 3402, 2106 |
| 3 | 1701, 1053 |
| 3 | 567, 351 |
| 3 | 189, 117 |
| 3 | 63, 39 |
| 21, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 3402,2106 By Matching Biggest Common Factor Method
Now, list down the factors of 3402
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402
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 3402,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 3402,2106 is 162.
Lets's calculate LCM of 440,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 272360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/272360
Therefore, the GCF of Fractions 3402/440,2106/619 is 162/272360
Least Common Multiple of 440,619 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 440,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,619) x common factors =1 x 1 = 1
LCM(440,619) = ( 440 × 619 ) / 1
LCM(440,619) = 272360 / 1
LCM(440,619) = 272360
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FAQs on GCF of Fractions of 3402/440, 2106/619
1. What is the HCF of 3402,2106?
The HCF of 3402,2106 is 162
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 3402/440, 2106/619?
Answer: GCF of Numerators as per given numbers 3402/440, 2106/619 is
GCF of Numerators i.e. for 3402,2106 is 162
LCM of denominators i.e. for 440,619 is 272360.
Thus, GCF of Fractions is 162/272360.Finally, GCF of Fractions for 3402/440, 2106/619 is 162/272360.