GCF of 5200/342, 1035/6499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5200/342, 1035/6499 i.e 5/2222658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5200/342, 1035/6499.
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 5200/342,1035/6499?
Given fractions are 5200/342,1035/6499
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 5200/342,1035/6499, numerators are 5200,1035
Denominators are 342,6499
The GCF of 5200,1035 is 5 .
LCM of 342,6499 is 2222658.
The greatest common factor of 5200/342,1035/6499 = [GCF of 5200,1035]/[LCM of 342,6499]= 5/2222658
Therefore, the GCF of 5200/342,1035/6499 is 5/2222658.
To find the highest common factor of 5200,1035, we have to find the factors of both numbers and list the highest common factor.
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
The HCF of 5200,1035 is 5.
Lets's calculate GCF of 5200,1035
| 5 | 5200, 1035 |
| 1040, 207 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5200,1035 By Matching Biggest Common Factor Method
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Now, list down the factors of 1035
:1,3,5,9,15,23,45,69,115,207,345,1035
Greatest Common Factor
We found the factors 5200,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 5200,1035 is 5.
Lets's calculate LCM of 342,6499
Given numbers has no common factors except 1. So, there LCM is their product i.e 2222658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2222658
Therefore, the GCF of Fractions 5200/342,1035/6499 is 5/2222658
Least Common Multiple of 342,6499 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 342,6499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6499) x common factors =1 x 1 = 1
LCM(342,6499) = ( 342 × 6499 ) / 1
LCM(342,6499) = 2222658 / 1
LCM(342,6499) = 2222658
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FAQs on GCF of Fractions of 5200/342, 1035/6499
1. What is the HCF of 5200,1035?
The HCF of 5200,1035 is 5
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 5200/342, 1035/6499?
Answer: GCF of Numerators as per given numbers 5200/342, 1035/6499 is
GCF of Numerators i.e. for 5200,1035 is 5
LCM of denominators i.e. for 342,6499 is 2222658.
Thus, GCF of Fractions is 5/2222658.Finally, GCF of Fractions for 5200/342, 1035/6499 is 5/2222658.