GCF of 3233/969, 6024/5504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3233/969, 6024/5504 i.e 1/5333376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3233/969, 6024/5504.
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 3233/969,6024/5504?
Given fractions are 3233/969,6024/5504
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 3233/969,6024/5504, numerators are 3233,6024
Denominators are 969,5504
The GCF of 3233,6024 is 1 .
LCM of 969,5504 is 5333376.
The greatest common factor of 3233/969,6024/5504 = [GCF of 3233,6024]/[LCM of 969,5504]= 1/5333376
Therefore, the GCF of 3233/969,6024/5504 is 1/5333376.
To find the highest common factor of 3233,6024, we have to find the factors of both numbers and list the highest common factor.
The factors of 3233 are 1, 53, 61, 3233
The factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024
The HCF of 3233,6024 is 1.
Lets's calculate GCF of 3233,6024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3233,6024 By Matching Biggest Common Factor Method
Now, list down the factors of 3233
:1,53,61,3233
Now, list down the factors of 6024
:1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Greatest Common Factor
We found the factors 3233,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 3233,6024 is 1.
Lets's calculate LCM of 969,5504
Given numbers has no common factors except 1. So, there LCM is their product i.e 5333376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5333376
Therefore, the GCF of Fractions 3233/969,6024/5504 is 1/5333376
Least Common Multiple of 969,5504 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 969,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,5504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,5504) x common factors =1 x 1 = 1
LCM(969,5504) = ( 969 × 5504 ) / 1
LCM(969,5504) = 5333376 / 1
LCM(969,5504) = 5333376
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FAQs on GCF of Fractions of 3233/969, 6024/5504
1. What is the HCF of 3233,6024?
The HCF of 3233,6024 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 3233/969, 6024/5504?
Answer: GCF of Numerators as per given numbers 3233/969, 6024/5504 is
GCF of Numerators i.e. for 3233,6024 is 1
LCM of denominators i.e. for 969,5504 is 5333376.
Thus, GCF of Fractions is 1/5333376.Finally, GCF of Fractions for 3233/969, 6024/5504 is 1/5333376.