GCF of 1998/141, 8531/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1998/141, 8531/274 i.e 1/38634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1998/141, 8531/274.
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 1998/141,8531/274?
Given fractions are 1998/141,8531/274
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 1998/141,8531/274, numerators are 1998,8531
Denominators are 141,274
The GCF of 1998,8531 is 1 .
LCM of 141,274 is 38634.
The greatest common factor of 1998/141,8531/274 = [GCF of 1998,8531]/[LCM of 141,274]= 1/38634
Therefore, the GCF of 1998/141,8531/274 is 1/38634.
To find the highest common factor of 1998,8531, we have to find the factors of both numbers and list the highest common factor.
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The factors of 8531 are 1, 19, 449, 8531
The HCF of 1998,8531 is 1.
Lets's calculate GCF of 1998,8531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1998,8531 By Matching Biggest Common Factor Method
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Now, list down the factors of 8531
:1,19,449,8531
Greatest Common Factor
We found the factors 1998,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 1998,8531 is 1.
Lets's calculate LCM of 141,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 38634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38634
Therefore, the GCF of Fractions 1998/141,8531/274 is 1/38634
Least Common Multiple of 141,274 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 141,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,274) x common factors =1 x 1 = 1
LCM(141,274) = ( 141 × 274 ) / 1
LCM(141,274) = 38634 / 1
LCM(141,274) = 38634
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FAQs on GCF of Fractions of 1998/141, 8531/274
1. What is the HCF of 1998,8531?
The HCF of 1998,8531 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 1998/141, 8531/274?
Answer: GCF of Numerators as per given numbers 1998/141, 8531/274 is
GCF of Numerators i.e. for 1998,8531 is 1
LCM of denominators i.e. for 141,274 is 38634.
Thus, GCF of Fractions is 1/38634.Finally, GCF of Fractions for 1998/141, 8531/274 is 1/38634.