GCF of 5342/519, 8052/3631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5342/519, 8052/3631 i.e 2/1884489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5342/519, 8052/3631.
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 5342/519,8052/3631?
Given fractions are 5342/519,8052/3631
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 5342/519,8052/3631, numerators are 5342,8052
Denominators are 519,3631
The GCF of 5342,8052 is 2 .
LCM of 519,3631 is 1884489.
The greatest common factor of 5342/519,8052/3631 = [GCF of 5342,8052]/[LCM of 519,3631]= 2/1884489
Therefore, the GCF of 5342/519,8052/3631 is 2/1884489.
To find the highest common factor of 5342,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 5342 are 1, 2, 2671, 5342
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 5342,8052 is 2.
Lets's calculate GCF of 5342,8052
| 2 | 5342, 8052 |
| 2671, 4026 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5342,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 5342
:1,2,2671,5342
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 5342,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,8052 is 2.
Lets's calculate LCM of 519,3631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1884489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1884489
Therefore, the GCF of Fractions 5342/519,8052/3631 is 2/1884489
Least Common Multiple of 519,3631 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 519,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,3631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,3631) x common factors =1 x 1 = 1
LCM(519,3631) = ( 519 × 3631 ) / 1
LCM(519,3631) = 1884489 / 1
LCM(519,3631) = 1884489
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FAQs on GCF of Fractions of 5342/519, 8052/3631
1. What is the HCF of 5342,8052?
The HCF of 5342,8052 is 2
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 5342/519, 8052/3631?
Answer: GCF of Numerators as per given numbers 5342/519, 8052/3631 is
GCF of Numerators i.e. for 5342,8052 is 2
LCM of denominators i.e. for 519,3631 is 1884489.
Thus, GCF of Fractions is 2/1884489.Finally, GCF of Fractions for 5342/519, 8052/3631 is 2/1884489.