GCF of 1650/381, 2557/3831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1650/381, 2557/3831 i.e 1/486537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1650/381, 2557/3831.
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 1650/381,2557/3831?
Given fractions are 1650/381,2557/3831
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 1650/381,2557/3831, numerators are 1650,2557
Denominators are 381,3831
The GCF of 1650,2557 is 1 .
LCM of 381,3831 is 486537.
The greatest common factor of 1650/381,2557/3831 = [GCF of 1650,2557]/[LCM of 381,3831]= 1/486537
Therefore, the GCF of 1650/381,2557/3831 is 1/486537.
To find the highest common factor of 1650,2557, we have to find the factors of both numbers and list the highest common factor.
The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
The factors of 2557 are 1, 2557
The HCF of 1650,2557 is 1.
Lets's calculate GCF of 1650,2557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1650,2557 By Matching Biggest Common Factor Method
Now, list down the factors of 1650
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Now, list down the factors of 2557
:1,2557
Greatest Common Factor
We found the factors 1650,2557 . The biggest common factor number is the GCF number.
So the greatest common factor 1650,2557 is 1.
Lets's calculate LCM of 381,3831
| 3 | 381, 3831 |
| 127, 1277 |
∴ So the LCM of the given numbers is 3 x 127 x 1277 = 486537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486537
Therefore, the GCF of Fractions 1650/381,2557/3831 is 1/486537
Least Common Multiple of 381,3831 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 381,3831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,3831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,3831) x common factors =3 x 1 = 3
LCM(381,3831) = ( 381 × 3831 ) / 3
LCM(381,3831) = 1459611 / 3
LCM(381,3831) = 486537
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FAQs on GCF of Fractions of 1650/381, 2557/3831
1. What is the HCF of 1650,2557?
The HCF of 1650,2557 is 1
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 1650/381, 2557/3831?
Answer: GCF of Numerators as per given numbers 1650/381, 2557/3831 is
GCF of Numerators i.e. for 1650,2557 is 1
LCM of denominators i.e. for 381,3831 is 486537.
Thus, GCF of Fractions is 1/486537.Finally, GCF of Fractions for 1650/381, 2557/3831 is 1/486537.