GCF of 6228/223, 8052/5456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6228/223, 8052/5456 i.e 12/1216688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6228/223, 8052/5456.
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 6228/223,8052/5456?
Given fractions are 6228/223,8052/5456
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 6228/223,8052/5456, numerators are 6228,8052
Denominators are 223,5456
The GCF of 6228,8052 is 12 .
LCM of 223,5456 is 1216688.
The greatest common factor of 6228/223,8052/5456 = [GCF of 6228,8052]/[LCM of 223,5456]= 12/1216688
Therefore, the GCF of 6228/223,8052/5456 is 12/1216688.
To find the highest common factor of 6228,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 6228,8052 is 12.
Lets's calculate GCF of 6228,8052
| 2 | 6228, 8052 |
| 2 | 3114, 4026 |
| 3 | 1557, 2013 |
| 519, 671 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6228,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 6228
:1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 6228,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 6228,8052 is 12.
Lets's calculate LCM of 223,5456
Given numbers has no common factors except 1. So, there LCM is their product i.e 1216688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1216688
Therefore, the GCF of Fractions 6228/223,8052/5456 is 12/1216688
Least Common Multiple of 223,5456 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 223,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,5456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,5456) x common factors =1 x 1 = 1
LCM(223,5456) = ( 223 × 5456 ) / 1
LCM(223,5456) = 1216688 / 1
LCM(223,5456) = 1216688
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FAQs on GCF of Fractions of 6228/223, 8052/5456
1. What is the HCF of 6228,8052?
The HCF of 6228,8052 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 6228/223, 8052/5456?
Answer: GCF of Numerators as per given numbers 6228/223, 8052/5456 is
GCF of Numerators i.e. for 6228,8052 is 12
LCM of denominators i.e. for 223,5456 is 1216688.
Thus, GCF of Fractions is 12/1216688.Finally, GCF of Fractions for 6228/223, 8052/5456 is 12/1216688.