GCF of 1898/324, 8057/3481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1898/324, 8057/3481 i.e 1/1127844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1898/324, 8057/3481.
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 1898/324,8057/3481?
Given fractions are 1898/324,8057/3481
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 1898/324,8057/3481, numerators are 1898,8057
Denominators are 324,3481
The GCF of 1898,8057 is 1 .
LCM of 324,3481 is 1127844.
The greatest common factor of 1898/324,8057/3481 = [GCF of 1898,8057]/[LCM of 324,3481]= 1/1127844
Therefore, the GCF of 1898/324,8057/3481 is 1/1127844.
To find the highest common factor of 1898,8057, we have to find the factors of both numbers and list the highest common factor.
The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898
The factors of 8057 are 1, 7, 1151, 8057
The HCF of 1898,8057 is 1.
Lets's calculate GCF of 1898,8057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1898,8057 By Matching Biggest Common Factor Method
Now, list down the factors of 1898
:1,2,13,26,73,146,949,1898
Now, list down the factors of 8057
:1,7,1151,8057
Greatest Common Factor
We found the factors 1898,8057 . The biggest common factor number is the GCF number.
So the greatest common factor 1898,8057 is 1.
Lets's calculate LCM of 324,3481
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127844
Therefore, the GCF of Fractions 1898/324,8057/3481 is 1/1127844
Least Common Multiple of 324,3481 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 324,3481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,3481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,3481) x common factors =1 x 1 = 1
LCM(324,3481) = ( 324 × 3481 ) / 1
LCM(324,3481) = 1127844 / 1
LCM(324,3481) = 1127844
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FAQs on GCF of Fractions of 1898/324, 8057/3481
1. What is the HCF of 1898,8057?
The HCF of 1898,8057 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 1898/324, 8057/3481?
Answer: GCF of Numerators as per given numbers 1898/324, 8057/3481 is
GCF of Numerators i.e. for 1898,8057 is 1
LCM of denominators i.e. for 324,3481 is 1127844.
Thus, GCF of Fractions is 1/1127844.Finally, GCF of Fractions for 1898/324, 8057/3481 is 1/1127844.