GCF of 6230/835, 3170/7009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6230/835, 3170/7009 i.e 10/5852515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6230/835, 3170/7009.
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 6230/835,3170/7009?
Given fractions are 6230/835,3170/7009
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 6230/835,3170/7009, numerators are 6230,3170
Denominators are 835,7009
The GCF of 6230,3170 is 10 .
LCM of 835,7009 is 5852515.
The greatest common factor of 6230/835,3170/7009 = [GCF of 6230,3170]/[LCM of 835,7009]= 10/5852515
Therefore, the GCF of 6230/835,3170/7009 is 10/5852515.
To find the highest common factor of 6230,3170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170
The HCF of 6230,3170 is 10.
Lets's calculate GCF of 6230,3170
| 2 | 6230, 3170 |
| 5 | 3115, 1585 |
| 623, 317 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6230,3170 By Matching Biggest Common Factor Method
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Now, list down the factors of 3170
:1,2,5,10,317,634,1585,3170
Greatest Common Factor
We found the factors 6230,3170 . The biggest common factor number is the GCF number.
So the greatest common factor 6230,3170 is 10.
Lets's calculate LCM of 835,7009
Given numbers has no common factors except 1. So, there LCM is their product i.e 5852515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5852515
Therefore, the GCF of Fractions 6230/835,3170/7009 is 10/5852515
Least Common Multiple of 835,7009 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 835,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,7009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,7009) x common factors =1 x 1 = 1
LCM(835,7009) = ( 835 × 7009 ) / 1
LCM(835,7009) = 5852515 / 1
LCM(835,7009) = 5852515
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6230/835, 3170/7009
1. What is the HCF of 6230,3170?
The HCF of 6230,3170 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 6230/835, 3170/7009?
Answer: GCF of Numerators as per given numbers 6230/835, 3170/7009 is
GCF of Numerators i.e. for 6230,3170 is 10
LCM of denominators i.e. for 835,7009 is 5852515.
Thus, GCF of Fractions is 10/5852515.Finally, GCF of Fractions for 6230/835, 3170/7009 is 10/5852515.