GCF of 3024/894, 1431/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3024/894, 1431/402 i.e 27/59898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3024/894, 1431/402.
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 3024/894,1431/402?
Given fractions are 3024/894,1431/402
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 3024/894,1431/402, numerators are 3024,1431
Denominators are 894,402
The GCF of 3024,1431 is 27 .
LCM of 894,402 is 59898.
The greatest common factor of 3024/894,1431/402 = [GCF of 3024,1431]/[LCM of 894,402]= 27/59898
Therefore, the GCF of 3024/894,1431/402 is 27/59898.
To find the highest common factor of 3024,1431, we have to find the factors of both numbers and list the highest common factor.
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431
The HCF of 3024,1431 is 27.
Lets's calculate GCF of 3024,1431
| 3 | 3024, 1431 |
| 3 | 1008, 477 |
| 3 | 336, 159 |
| 112, 53 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 3024,1431 By Matching Biggest Common Factor Method
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Now, list down the factors of 1431
:1,3,9,27,53,159,477,1431
Greatest Common Factor
We found the factors 3024,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,1431 is 27.
Lets's calculate LCM of 894,402
| 2 | 894, 402 |
| 3 | 447, 201 |
| 149, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 67 = 59898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/59898
Therefore, the GCF of Fractions 3024/894,1431/402 is 27/59898
Least Common Multiple of 894,402 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 894,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,402) x common factors =6 x 1 = 6
LCM(894,402) = ( 894 × 402 ) / 6
LCM(894,402) = 359388 / 6
LCM(894,402) = 59898
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FAQs on GCF of Fractions of 3024/894, 1431/402
1. What is the HCF of 3024,1431?
The HCF of 3024,1431 is 27
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 3024/894, 1431/402?
Answer: GCF of Numerators as per given numbers 3024/894, 1431/402 is
GCF of Numerators i.e. for 3024,1431 is 27
LCM of denominators i.e. for 894,402 is 59898.
Thus, GCF of Fractions is 27/59898.Finally, GCF of Fractions for 3024/894, 1431/402 is 27/59898.