GCF of 285/24, 668/6055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/24, 668/6055 i.e 1/145320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/24, 668/6055.
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 285/24,668/6055?
Given fractions are 285/24,668/6055
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 285/24,668/6055, numerators are 285,668
Denominators are 24,6055
The GCF of 285,668 is 1 .
LCM of 24,6055 is 145320.
The greatest common factor of 285/24,668/6055 = [GCF of 285,668]/[LCM of 24,6055]= 1/145320
Therefore, the GCF of 285/24,668/6055 is 1/145320.
To find the highest common factor of 285,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 285,668 is 1.
Lets's calculate GCF of 285,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 285,668 By Matching Biggest Common Factor Method
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 285,668 . The biggest common factor number is the GCF number.
So the greatest common factor 285,668 is 1.
Lets's calculate LCM of 24,6055
Given numbers has no common factors except 1. So, there LCM is their product i.e 145320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145320
Therefore, the GCF of Fractions 285/24,668/6055 is 1/145320
Least Common Multiple of 24,6055 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 24,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,6055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,6055) x common factors =1 x 1 = 1
LCM(24,6055) = ( 24 × 6055 ) / 1
LCM(24,6055) = 145320 / 1
LCM(24,6055) = 145320
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FAQs on GCF of Fractions of 285/24, 668/6055
1. What is the HCF of 285,668?
The HCF of 285,668 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 285/24, 668/6055?
Answer: GCF of Numerators as per given numbers 285/24, 668/6055 is
GCF of Numerators i.e. for 285,668 is 1
LCM of denominators i.e. for 24,6055 is 145320.
Thus, GCF of Fractions is 1/145320.Finally, GCF of Fractions for 285/24, 668/6055 is 1/145320.