GCF of 1044/223, 8272/4009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1044/223, 8272/4009 i.e 4/894007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1044/223, 8272/4009.
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 1044/223,8272/4009?
Given fractions are 1044/223,8272/4009
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 1044/223,8272/4009, numerators are 1044,8272
Denominators are 223,4009
The GCF of 1044,8272 is 4 .
LCM of 223,4009 is 894007.
The greatest common factor of 1044/223,8272/4009 = [GCF of 1044,8272]/[LCM of 223,4009]= 4/894007
Therefore, the GCF of 1044/223,8272/4009 is 4/894007.
To find the highest common factor of 1044,8272, we have to find the factors of both numbers and list the highest common factor.
The factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272
The HCF of 1044,8272 is 4.
Lets's calculate GCF of 1044,8272
| 2 | 1044, 8272 |
| 2 | 522, 4136 |
| 261, 2068 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1044,8272 By Matching Biggest Common Factor Method
Now, list down the factors of 1044
:1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Now, list down the factors of 8272
:1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272
Greatest Common Factor
We found the factors 1044,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 1044,8272 is 4.
Lets's calculate LCM of 223,4009
Given numbers has no common factors except 1. So, there LCM is their product i.e 894007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/894007
Therefore, the GCF of Fractions 1044/223,8272/4009 is 4/894007
Least Common Multiple of 223,4009 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 223,4009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,4009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,4009) x common factors =1 x 1 = 1
LCM(223,4009) = ( 223 × 4009 ) / 1
LCM(223,4009) = 894007 / 1
LCM(223,4009) = 894007
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FAQs on GCF of Fractions of 1044/223, 8272/4009
1. What is the HCF of 1044,8272?
The HCF of 1044,8272 is 4
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 1044/223, 8272/4009?
Answer: GCF of Numerators as per given numbers 1044/223, 8272/4009 is
GCF of Numerators i.e. for 1044,8272 is 4
LCM of denominators i.e. for 223,4009 is 894007.
Thus, GCF of Fractions is 4/894007.Finally, GCF of Fractions for 1044/223, 8272/4009 is 4/894007.