GCF of 8052/282, 9218/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8052/282, 9218/722 i.e 22/101802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8052/282, 9218/722.
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 8052/282,9218/722?
Given fractions are 8052/282,9218/722
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 8052/282,9218/722, numerators are 8052,9218
Denominators are 282,722
The GCF of 8052,9218 is 22 .
LCM of 282,722 is 101802.
The greatest common factor of 8052/282,9218/722 = [GCF of 8052,9218]/[LCM of 282,722]= 22/101802
Therefore, the GCF of 8052/282,9218/722 is 22/101802.
To find the highest common factor of 8052,9218, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218
The HCF of 8052,9218 is 22.
Lets's calculate GCF of 8052,9218
| 2 | 8052, 9218 |
| 11 | 4026, 4609 |
| 366, 419 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8052,9218 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9218
:1,2,11,22,419,838,4609,9218
Greatest Common Factor
We found the factors 8052,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 8052,9218 is 22.
Lets's calculate LCM of 282,722
| 2 | 282, 722 |
| 141, 361 |
∴ So the LCM of the given numbers is 2 x 141 x 361 = 101802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/101802
Therefore, the GCF of Fractions 8052/282,9218/722 is 22/101802
Least Common Multiple of 282,722 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 282,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,722) x common factors =2 x 1 = 2
LCM(282,722) = ( 282 × 722 ) / 2
LCM(282,722) = 203604 / 2
LCM(282,722) = 101802
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FAQs on GCF of Fractions of 8052/282, 9218/722
1. What is the HCF of 8052,9218?
The HCF of 8052,9218 is 22
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 8052/282, 9218/722?
Answer: GCF of Numerators as per given numbers 8052/282, 9218/722 is
GCF of Numerators i.e. for 8052,9218 is 22
LCM of denominators i.e. for 282,722 is 101802.
Thus, GCF of Fractions is 22/101802.Finally, GCF of Fractions for 8052/282, 9218/722 is 22/101802.