GCF of 4467/844, 3144/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4467/844, 3144/906 i.e 3/382332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4467/844, 3144/906.
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 4467/844,3144/906?
Given fractions are 4467/844,3144/906
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 4467/844,3144/906, numerators are 4467,3144
Denominators are 844,906
The GCF of 4467,3144 is 3 .
LCM of 844,906 is 382332.
The greatest common factor of 4467/844,3144/906 = [GCF of 4467,3144]/[LCM of 844,906]= 3/382332
Therefore, the GCF of 4467/844,3144/906 is 3/382332.
To find the highest common factor of 4467,3144, we have to find the factors of both numbers and list the highest common factor.
The factors of 4467 are 1, 3, 1489, 4467
The factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144
The HCF of 4467,3144 is 3.
Lets's calculate GCF of 4467,3144
| 3 | 4467, 3144 |
| 1489, 1048 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4467,3144 By Matching Biggest Common Factor Method
Now, list down the factors of 4467
:1,3,1489,4467
Now, list down the factors of 3144
:1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Greatest Common Factor
We found the factors 4467,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 4467,3144 is 3.
Lets's calculate LCM of 844,906
| 2 | 844, 906 |
| 422, 453 |
∴ So the LCM of the given numbers is 2 x 422 x 453 = 382332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/382332
Therefore, the GCF of Fractions 4467/844,3144/906 is 3/382332
Least Common Multiple of 844,906 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 844,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,906) x common factors =2 x 1 = 2
LCM(844,906) = ( 844 × 906 ) / 2
LCM(844,906) = 764664 / 2
LCM(844,906) = 382332
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FAQs on GCF of Fractions of 4467/844, 3144/906
1. What is the HCF of 4467,3144?
The HCF of 4467,3144 is 3
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 4467/844, 3144/906?
Answer: GCF of Numerators as per given numbers 4467/844, 3144/906 is
GCF of Numerators i.e. for 4467,3144 is 3
LCM of denominators i.e. for 844,906 is 382332.
Thus, GCF of Fractions is 3/382332.Finally, GCF of Fractions for 4467/844, 3144/906 is 3/382332.