GCF of 2151/150, 8384/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2151/150, 8384/283 i.e 1/42450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2151/150, 8384/283.
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 2151/150,8384/283?
Given fractions are 2151/150,8384/283
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 2151/150,8384/283, numerators are 2151,8384
Denominators are 150,283
The GCF of 2151,8384 is 1 .
LCM of 150,283 is 42450.
The greatest common factor of 2151/150,8384/283 = [GCF of 2151,8384]/[LCM of 150,283]= 1/42450
Therefore, the GCF of 2151/150,8384/283 is 1/42450.
To find the highest common factor of 2151,8384, we have to find the factors of both numbers and list the highest common factor.
The factors of 2151 are 1, 3, 9, 239, 717, 2151
The factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384
The HCF of 2151,8384 is 1.
Lets's calculate GCF of 2151,8384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2151,8384 By Matching Biggest Common Factor Method
Now, list down the factors of 2151
:1,3,9,239,717,2151
Now, list down the factors of 8384
:1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Greatest Common Factor
We found the factors 2151,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,8384 is 1.
Lets's calculate LCM of 150,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 42450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42450
Therefore, the GCF of Fractions 2151/150,8384/283 is 1/42450
Least Common Multiple of 150,283 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 150,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,283) x common factors =1 x 1 = 1
LCM(150,283) = ( 150 × 283 ) / 1
LCM(150,283) = 42450 / 1
LCM(150,283) = 42450
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FAQs on GCF of Fractions of 2151/150, 8384/283
1. What is the HCF of 2151,8384?
The HCF of 2151,8384 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 2151/150, 8384/283?
Answer: GCF of Numerators as per given numbers 2151/150, 8384/283 is
GCF of Numerators i.e. for 2151,8384 is 1
LCM of denominators i.e. for 150,283 is 42450.
Thus, GCF of Fractions is 1/42450.Finally, GCF of Fractions for 2151/150, 8384/283 is 1/42450.