GCF of 6410/181, 8650/7115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6410/181, 8650/7115 i.e 10/1287815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6410/181, 8650/7115.
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 6410/181,8650/7115?
Given fractions are 6410/181,8650/7115
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 6410/181,8650/7115, numerators are 6410,8650
Denominators are 181,7115
The GCF of 6410,8650 is 10 .
LCM of 181,7115 is 1287815.
The greatest common factor of 6410/181,8650/7115 = [GCF of 6410,8650]/[LCM of 181,7115]= 10/1287815
Therefore, the GCF of 6410/181,8650/7115 is 10/1287815.
To find the highest common factor of 6410,8650, we have to find the factors of both numbers and list the highest common factor.
The factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410
The factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650
The HCF of 6410,8650 is 10.
Lets's calculate GCF of 6410,8650
| 2 | 6410, 8650 |
| 5 | 3205, 4325 |
| 641, 865 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6410,8650 By Matching Biggest Common Factor Method
Now, list down the factors of 6410
:1,2,5,10,641,1282,3205,6410
Now, list down the factors of 8650
:1,2,5,10,25,50,173,346,865,1730,4325,8650
Greatest Common Factor
We found the factors 6410,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 6410,8650 is 10.
Lets's calculate LCM of 181,7115
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1287815
Therefore, the GCF of Fractions 6410/181,8650/7115 is 10/1287815
Least Common Multiple of 181,7115 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 181,7115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,7115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,7115) x common factors =1 x 1 = 1
LCM(181,7115) = ( 181 × 7115 ) / 1
LCM(181,7115) = 1287815 / 1
LCM(181,7115) = 1287815
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FAQs on GCF of Fractions of 6410/181, 8650/7115
1. What is the HCF of 6410,8650?
The HCF of 6410,8650 is 10
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 6410/181, 8650/7115?
Answer: GCF of Numerators as per given numbers 6410/181, 8650/7115 is
GCF of Numerators i.e. for 6410,8650 is 10
LCM of denominators i.e. for 181,7115 is 1287815.
Thus, GCF of Fractions is 10/1287815.Finally, GCF of Fractions for 6410/181, 8650/7115 is 10/1287815.