GCF of 1638/927, 3578/3290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1638/927, 3578/3290 i.e 2/3049830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1638/927, 3578/3290.
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 1638/927,3578/3290?
Given fractions are 1638/927,3578/3290
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 1638/927,3578/3290, numerators are 1638,3578
Denominators are 927,3290
The GCF of 1638,3578 is 2 .
LCM of 927,3290 is 3049830.
The greatest common factor of 1638/927,3578/3290 = [GCF of 1638,3578]/[LCM of 927,3290]= 2/3049830
Therefore, the GCF of 1638/927,3578/3290 is 2/3049830.
To find the highest common factor of 1638,3578, we have to find the factors of both numbers and list the highest common factor.
The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
The factors of 3578 are 1, 2, 1789, 3578
The HCF of 1638,3578 is 2.
Lets's calculate GCF of 1638,3578
| 2 | 1638, 3578 |
| 819, 1789 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1638,3578 By Matching Biggest Common Factor Method
Now, list down the factors of 1638
:1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Now, list down the factors of 3578
:1,2,1789,3578
Greatest Common Factor
We found the factors 1638,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 1638,3578 is 2.
Lets's calculate LCM of 927,3290
Given numbers has no common factors except 1. So, there LCM is their product i.e 3049830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3049830
Therefore, the GCF of Fractions 1638/927,3578/3290 is 2/3049830
Least Common Multiple of 927,3290 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 927,3290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,3290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,3290) x common factors =1 x 1 = 1
LCM(927,3290) = ( 927 × 3290 ) / 1
LCM(927,3290) = 3049830 / 1
LCM(927,3290) = 3049830
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FAQs on GCF of Fractions of 1638/927, 3578/3290
1. What is the HCF of 1638,3578?
The HCF of 1638,3578 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 1638/927, 3578/3290?
Answer: GCF of Numerators as per given numbers 1638/927, 3578/3290 is
GCF of Numerators i.e. for 1638,3578 is 2
LCM of denominators i.e. for 927,3290 is 3049830.
Thus, GCF of Fractions is 2/3049830.Finally, GCF of Fractions for 1638/927, 3578/3290 is 2/3049830.