GCF of 3233/500, 6636/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3233/500, 6636/375 i.e 1/1500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3233/500, 6636/375.
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 3233/500,6636/375?
Given fractions are 3233/500,6636/375
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 3233/500,6636/375, numerators are 3233,6636
Denominators are 500,375
The GCF of 3233,6636 is 1 .
LCM of 500,375 is 1500.
The greatest common factor of 3233/500,6636/375 = [GCF of 3233,6636]/[LCM of 500,375]= 1/1500
Therefore, the GCF of 3233/500,6636/375 is 1/1500.
To find the highest common factor of 3233,6636, 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 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636
The HCF of 3233,6636 is 1.
Lets's calculate GCF of 3233,6636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3233,6636 By Matching Biggest Common Factor Method
Now, list down the factors of 3233
:1,53,61,3233
Now, list down the factors of 6636
:1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Greatest Common Factor
We found the factors 3233,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 3233,6636 is 1.
Lets's calculate LCM of 500,375
| 5 | 500, 375 |
| 5 | 100, 75 |
| 5 | 20, 15 |
| 4, 3 |
∴ So the LCM of the given numbers is 5 x 5 x 5 x 4 x 3 = 1500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1500
Therefore, the GCF of Fractions 3233/500,6636/375 is 1/1500
Least Common Multiple of 500,375 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 500,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,375) = 125
common factors(in case of two or more numbers have common factors) = 1
GCF(500,375) x common factors =125 x 1 = 125
LCM(500,375) = ( 500 × 375 ) / 125
LCM(500,375) = 187500 / 125
LCM(500,375) = 1500
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FAQs on GCF of Fractions of 3233/500, 6636/375
1. What is the HCF of 3233,6636?
The HCF of 3233,6636 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 3233/500, 6636/375?
Answer: GCF of Numerators as per given numbers 3233/500, 6636/375 is
GCF of Numerators i.e. for 3233,6636 is 1
LCM of denominators i.e. for 500,375 is 1500.
Thus, GCF of Fractions is 1/1500.Finally, GCF of Fractions for 3233/500, 6636/375 is 1/1500.