GCF of 6147/345, 5200/1940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6147/345, 5200/1940 i.e 1/133860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6147/345, 5200/1940.
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 6147/345,5200/1940?
Given fractions are 6147/345,5200/1940
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 6147/345,5200/1940, numerators are 6147,5200
Denominators are 345,1940
The GCF of 6147,5200 is 1 .
LCM of 345,1940 is 133860.
The greatest common factor of 6147/345,5200/1940 = [GCF of 6147,5200]/[LCM of 345,1940]= 1/133860
Therefore, the GCF of 6147/345,5200/1940 is 1/133860.
To find the highest common factor of 6147,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 6147 are 1, 3, 9, 683, 2049, 6147
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 HCF of 6147,5200 is 1.
Lets's calculate GCF of 6147,5200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6147,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 6147
:1,3,9,683,2049,6147
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
Greatest Common Factor
We found the factors 6147,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 6147,5200 is 1.
Lets's calculate LCM of 345,1940
| 5 | 345, 1940 |
| 69, 388 |
∴ So the LCM of the given numbers is 5 x 69 x 388 = 133860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133860
Therefore, the GCF of Fractions 6147/345,5200/1940 is 1/133860
Least Common Multiple of 345,1940 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 345,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,1940) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(345,1940) x common factors =5 x 1 = 5
LCM(345,1940) = ( 345 × 1940 ) / 5
LCM(345,1940) = 669300 / 5
LCM(345,1940) = 133860
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FAQs on GCF of Fractions of 6147/345, 5200/1940
1. What is the HCF of 6147,5200?
The HCF of 6147,5200 is 1
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 6147/345, 5200/1940?
Answer: GCF of Numerators as per given numbers 6147/345, 5200/1940 is
GCF of Numerators i.e. for 6147,5200 is 1
LCM of denominators i.e. for 345,1940 is 133860.
Thus, GCF of Fractions is 1/133860.Finally, GCF of Fractions for 6147/345, 5200/1940 is 1/133860.