GCF of 6150/230, 6355/1794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6150/230, 6355/1794 i.e 205/8970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6150/230, 6355/1794.
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 6150/230,6355/1794?
Given fractions are 6150/230,6355/1794
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 6150/230,6355/1794, numerators are 6150,6355
Denominators are 230,1794
The GCF of 6150,6355 is 205 .
LCM of 230,1794 is 8970.
The greatest common factor of 6150/230,6355/1794 = [GCF of 6150,6355]/[LCM of 230,1794]= 205/8970
Therefore, the GCF of 6150/230,6355/1794 is 205/8970.
To find the highest common factor of 6150,6355, we have to find the factors of both numbers and list the highest common factor.
The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
The factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355
The HCF of 6150,6355 is 205.
Lets's calculate GCF of 6150,6355
| 5 | 6150, 6355 |
| 41 | 1230, 1271 |
| 30, 31 |
∴ So the GCF of the given numbers is 5 x 41 = 205
Greatest Common Factor of 6150,6355 By Matching Biggest Common Factor Method
Now, list down the factors of 6150
:1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Now, list down the factors of 6355
:1,5,31,41,155,205,1271,6355
Greatest Common Factor
We found the factors 6150,6355 . The biggest common factor number is the GCF number.
So the greatest common factor 6150,6355 is 205.
Lets's calculate LCM of 230,1794
| 2 | 230, 1794 |
| 23 | 115, 897 |
| 5, 39 |
∴ So the LCM of the given numbers is 2 x 23 x 5 x 39 = 8970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 205/8970
Therefore, the GCF of Fractions 6150/230,6355/1794 is 205/8970
Least Common Multiple of 230,1794 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 230,1794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,1794) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(230,1794) x common factors =46 x 1 = 46
LCM(230,1794) = ( 230 × 1794 ) / 46
LCM(230,1794) = 412620 / 46
LCM(230,1794) = 8970
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FAQs on GCF of Fractions of 6150/230, 6355/1794
1. What is the HCF of 6150,6355?
The HCF of 6150,6355 is 205
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 6150/230, 6355/1794?
Answer: GCF of Numerators as per given numbers 6150/230, 6355/1794 is
GCF of Numerators i.e. for 6150,6355 is 205
LCM of denominators i.e. for 230,1794 is 8970.
Thus, GCF of Fractions is 205/8970.Finally, GCF of Fractions for 6150/230, 6355/1794 is 205/8970.