GCF of 200/242, 3085/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 200/242, 3085/433 i.e 5/104786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/242, 3085/433.
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 200/242,3085/433?
Given fractions are 200/242,3085/433
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 200/242,3085/433, numerators are 200,3085
Denominators are 242,433
The GCF of 200,3085 is 5 .
LCM of 242,433 is 104786.
The greatest common factor of 200/242,3085/433 = [GCF of 200,3085]/[LCM of 242,433]= 5/104786
Therefore, the GCF of 200/242,3085/433 is 5/104786.
To find the highest common factor of 200,3085, we have to find the factors of both numbers and list the highest common factor.
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 3085 are 1, 5, 617, 3085
The HCF of 200,3085 is 5.
Lets's calculate GCF of 200,3085
| 5 | 200, 3085 |
| 40, 617 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 200,3085 By Matching Biggest Common Factor Method
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Now, list down the factors of 3085
:1,5,617,3085
Greatest Common Factor
We found the factors 200,3085 . The biggest common factor number is the GCF number.
So the greatest common factor 200,3085 is 5.
Lets's calculate LCM of 242,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 104786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/104786
Therefore, the GCF of Fractions 200/242,3085/433 is 5/104786
Least Common Multiple of 242,433 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 242,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,433) x common factors =1 x 1 = 1
LCM(242,433) = ( 242 × 433 ) / 1
LCM(242,433) = 104786 / 1
LCM(242,433) = 104786
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FAQs on GCF of Fractions of 200/242, 3085/433
1. What is the HCF of 200,3085?
The HCF of 200,3085 is 5
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 200/242, 3085/433?
Answer: GCF of Numerators as per given numbers 200/242, 3085/433 is
GCF of Numerators i.e. for 200,3085 is 5
LCM of denominators i.e. for 242,433 is 104786.
Thus, GCF of Fractions is 5/104786.Finally, GCF of Fractions for 200/242, 3085/433 is 5/104786.