GCF of 3143/200, 6615/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3143/200, 6615/265 i.e 7/10600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3143/200, 6615/265.
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 3143/200,6615/265?
Given fractions are 3143/200,6615/265
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 3143/200,6615/265, numerators are 3143,6615
Denominators are 200,265
The GCF of 3143,6615 is 7 .
LCM of 200,265 is 10600.
The greatest common factor of 3143/200,6615/265 = [GCF of 3143,6615]/[LCM of 200,265]= 7/10600
Therefore, the GCF of 3143/200,6615/265 is 7/10600.
To find the highest common factor of 3143,6615, we have to find the factors of both numbers and list the highest common factor.
The factors of 3143 are 1, 7, 449, 3143
The factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
The HCF of 3143,6615 is 7.
Lets's calculate GCF of 3143,6615
| 7 | 3143, 6615 |
| 449, 945 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3143,6615 By Matching Biggest Common Factor Method
Now, list down the factors of 3143
:1,7,449,3143
Now, list down the factors of 6615
:1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615
Greatest Common Factor
We found the factors 3143,6615 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,6615 is 7.
Lets's calculate LCM of 200,265
| 5 | 200, 265 |
| 40, 53 |
∴ So the LCM of the given numbers is 5 x 40 x 53 = 10600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10600
Therefore, the GCF of Fractions 3143/200,6615/265 is 7/10600
Least Common Multiple of 200,265 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 200,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(200,265) x common factors =5 x 1 = 5
LCM(200,265) = ( 200 × 265 ) / 5
LCM(200,265) = 53000 / 5
LCM(200,265) = 10600
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FAQs on GCF of Fractions of 3143/200, 6615/265
1. What is the HCF of 3143,6615?
The HCF of 3143,6615 is 7
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 3143/200, 6615/265?
Answer: GCF of Numerators as per given numbers 3143/200, 6615/265 is
GCF of Numerators i.e. for 3143,6615 is 7
LCM of denominators i.e. for 200,265 is 10600.
Thus, GCF of Fractions is 7/10600.Finally, GCF of Fractions for 3143/200, 6615/265 is 7/10600.