GCF of 13/70, 390/71, 200/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/70, 390/71, 200/819 i.e 1/581490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/70, 390/71, 200/819.
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 13/70,390/71,200/819?
Given fractions are 13/70,390/71,200/819
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 13/70,390/71,200/819, numerators are 13,390,200
Denominators are 70,71,819
The GCF of 13,390,200 is 1 .
LCM of 70,71,819 is 581490.
The greatest common factor of 13/70,390/71,200/819 = [GCF of 13,390,200]/[LCM of 70,71,819]= 1/581490
Therefore, the GCF of 13/70,390/71,200/819 is 1/581490.
To find the highest common factor of 13,390,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 13,390,200 is 1.
Lets's calculate GCF of 13,390,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,390,200 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 13,390,200 . The biggest common factor number is the GCF number.
So the greatest common factor 13,390,200 is 1.
Lets's calculate LCM of 70,71,819
| 7 | 70, 71, 819 |
| 10, 71, 117 |
∴ So the LCM of the given numbers is 7 x 10 x 71 x 117 = 581490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581490
Therefore, the GCF of Fractions 13/70,390/71,200/819 is 1/581490
Least Common Multiple of 70,71,819 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 70,71,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,71,819) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(70,71,819) x common factors =1 x 7 = 7
LCM(70,71,819) = ( 70 × 71 × 819 ) / 7
LCM(70,71,819) = 4070430 / 7
LCM(70,71,819) = 581490
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 13/70, 390/71, 200/819
1. What is the HCF of 13,390,200?
The HCF of 13,390,200 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 13/70, 390/71, 200/819?
Answer: GCF of Numerators as per given numbers 13/70, 390/71, 200/819 is
GCF of Numerators i.e. for 13,390,200 is 1
LCM of denominators i.e. for 70,71,819 is 581490.
Thus, GCF of Fractions is 1/581490.Finally, GCF of Fractions for 13/70, 390/71, 200/819 is 1/581490.