GCF of 2331/331, 7849/1870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2331/331, 7849/1870 i.e 1/618970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2331/331, 7849/1870.
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 2331/331,7849/1870?
Given fractions are 2331/331,7849/1870
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 2331/331,7849/1870, numerators are 2331,7849
Denominators are 331,1870
The GCF of 2331,7849 is 1 .
LCM of 331,1870 is 618970.
The greatest common factor of 2331/331,7849/1870 = [GCF of 2331,7849]/[LCM of 331,1870]= 1/618970
Therefore, the GCF of 2331/331,7849/1870 is 1/618970.
To find the highest common factor of 2331,7849, we have to find the factors of both numbers and list the highest common factor.
The factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331
The factors of 7849 are 1, 47, 167, 7849
The HCF of 2331,7849 is 1.
Lets's calculate GCF of 2331,7849
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2331,7849 By Matching Biggest Common Factor Method
Now, list down the factors of 2331
:1,3,7,9,21,37,63,111,259,333,777,2331
Now, list down the factors of 7849
:1,47,167,7849
Greatest Common Factor
We found the factors 2331,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 2331,7849 is 1.
Lets's calculate LCM of 331,1870
Given numbers has no common factors except 1. So, there LCM is their product i.e 618970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618970
Therefore, the GCF of Fractions 2331/331,7849/1870 is 1/618970
Least Common Multiple of 331,1870 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 331,1870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,1870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,1870) x common factors =1 x 1 = 1
LCM(331,1870) = ( 331 × 1870 ) / 1
LCM(331,1870) = 618970 / 1
LCM(331,1870) = 618970
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FAQs on GCF of Fractions of 2331/331, 7849/1870
1. What is the HCF of 2331,7849?
The HCF of 2331,7849 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 2331/331, 7849/1870?
Answer: GCF of Numerators as per given numbers 2331/331, 7849/1870 is
GCF of Numerators i.e. for 2331,7849 is 1
LCM of denominators i.e. for 331,1870 is 618970.
Thus, GCF of Fractions is 1/618970.Finally, GCF of Fractions for 2331/331, 7849/1870 is 1/618970.