GCF of 4032/292, 2364/3330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4032/292, 2364/3330 i.e 12/486180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4032/292, 2364/3330.
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 4032/292,2364/3330?
Given fractions are 4032/292,2364/3330
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 4032/292,2364/3330, numerators are 4032,2364
Denominators are 292,3330
The GCF of 4032,2364 is 12 .
LCM of 292,3330 is 486180.
The greatest common factor of 4032/292,2364/3330 = [GCF of 4032,2364]/[LCM of 292,3330]= 12/486180
Therefore, the GCF of 4032/292,2364/3330 is 12/486180.
To find the highest common factor of 4032,2364, we have to find the factors of both numbers and list the highest common factor.
The factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032
The factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
The HCF of 4032,2364 is 12.
Lets's calculate GCF of 4032,2364
| 2 | 4032, 2364 |
| 2 | 2016, 1182 |
| 3 | 1008, 591 |
| 336, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4032,2364 By Matching Biggest Common Factor Method
Now, list down the factors of 4032
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032
Now, list down the factors of 2364
:1,2,3,4,6,12,197,394,591,788,1182,2364
Greatest Common Factor
We found the factors 4032,2364 . The biggest common factor number is the GCF number.
So the greatest common factor 4032,2364 is 12.
Lets's calculate LCM of 292,3330
| 2 | 292, 3330 |
| 146, 1665 |
∴ So the LCM of the given numbers is 2 x 146 x 1665 = 486180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/486180
Therefore, the GCF of Fractions 4032/292,2364/3330 is 12/486180
Least Common Multiple of 292,3330 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 292,3330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,3330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,3330) x common factors =2 x 1 = 2
LCM(292,3330) = ( 292 × 3330 ) / 2
LCM(292,3330) = 972360 / 2
LCM(292,3330) = 486180
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FAQs on GCF of Fractions of 4032/292, 2364/3330
1. What is the HCF of 4032,2364?
The HCF of 4032,2364 is 12
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 4032/292, 2364/3330?
Answer: GCF of Numerators as per given numbers 4032/292, 2364/3330 is
GCF of Numerators i.e. for 4032,2364 is 12
LCM of denominators i.e. for 292,3330 is 486180.
Thus, GCF of Fractions is 12/486180.Finally, GCF of Fractions for 4032/292, 2364/3330 is 12/486180.