GCF of 6086/823, 3034/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6086/823, 3034/990 i.e 2/814770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6086/823, 3034/990.
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 6086/823,3034/990?
Given fractions are 6086/823,3034/990
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 6086/823,3034/990, numerators are 6086,3034
Denominators are 823,990
The GCF of 6086,3034 is 2 .
LCM of 823,990 is 814770.
The greatest common factor of 6086/823,3034/990 = [GCF of 6086,3034]/[LCM of 823,990]= 2/814770
Therefore, the GCF of 6086/823,3034/990 is 2/814770.
To find the highest common factor of 6086,3034, we have to find the factors of both numbers and list the highest common factor.
The factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086
The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034
The HCF of 6086,3034 is 2.
Lets's calculate GCF of 6086,3034
| 2 | 6086, 3034 |
| 3043, 1517 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6086,3034 By Matching Biggest Common Factor Method
Now, list down the factors of 6086
:1,2,17,34,179,358,3043,6086
Now, list down the factors of 3034
:1,2,37,41,74,82,1517,3034
Greatest Common Factor
We found the factors 6086,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 6086,3034 is 2.
Lets's calculate LCM of 823,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 814770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/814770
Therefore, the GCF of Fractions 6086/823,3034/990 is 2/814770
Least Common Multiple of 823,990 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 823,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,990) x common factors =1 x 1 = 1
LCM(823,990) = ( 823 × 990 ) / 1
LCM(823,990) = 814770 / 1
LCM(823,990) = 814770
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FAQs on GCF of Fractions of 6086/823, 3034/990
1. What is the HCF of 6086,3034?
The HCF of 6086,3034 is 2
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 6086/823, 3034/990?
Answer: GCF of Numerators as per given numbers 6086/823, 3034/990 is
GCF of Numerators i.e. for 6086,3034 is 2
LCM of denominators i.e. for 823,990 is 814770.
Thus, GCF of Fractions is 2/814770.Finally, GCF of Fractions for 6086/823, 3034/990 is 2/814770.