GCF of 5966/203, 3236/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5966/203, 3236/843 i.e 2/171129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5966/203, 3236/843.
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 5966/203,3236/843?
Given fractions are 5966/203,3236/843
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 5966/203,3236/843, numerators are 5966,3236
Denominators are 203,843
The GCF of 5966,3236 is 2 .
LCM of 203,843 is 171129.
The greatest common factor of 5966/203,3236/843 = [GCF of 5966,3236]/[LCM of 203,843]= 2/171129
Therefore, the GCF of 5966/203,3236/843 is 2/171129.
To find the highest common factor of 5966,3236, we have to find the factors of both numbers and list the highest common factor.
The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966
The factors of 3236 are 1, 2, 4, 809, 1618, 3236
The HCF of 5966,3236 is 2.
Lets's calculate GCF of 5966,3236
| 2 | 5966, 3236 |
| 2983, 1618 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5966,3236 By Matching Biggest Common Factor Method
Now, list down the factors of 5966
:1,2,19,38,157,314,2983,5966
Now, list down the factors of 3236
:1,2,4,809,1618,3236
Greatest Common Factor
We found the factors 5966,3236 . The biggest common factor number is the GCF number.
So the greatest common factor 5966,3236 is 2.
Lets's calculate LCM of 203,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 171129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171129
Therefore, the GCF of Fractions 5966/203,3236/843 is 2/171129
Least Common Multiple of 203,843 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 203,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,843) x common factors =1 x 1 = 1
LCM(203,843) = ( 203 × 843 ) / 1
LCM(203,843) = 171129 / 1
LCM(203,843) = 171129
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FAQs on GCF of Fractions of 5966/203, 3236/843
1. What is the HCF of 5966,3236?
The HCF of 5966,3236 is 2
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 5966/203, 3236/843?
Answer: GCF of Numerators as per given numbers 5966/203, 3236/843 is
GCF of Numerators i.e. for 5966,3236 is 2
LCM of denominators i.e. for 203,843 is 171129.
Thus, GCF of Fractions is 2/171129.Finally, GCF of Fractions for 5966/203, 3236/843 is 2/171129.