GCF of 6077/302, 8343/1917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6077/302, 8343/1917 i.e 103/578934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6077/302, 8343/1917.
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 6077/302,8343/1917?
Given fractions are 6077/302,8343/1917
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 6077/302,8343/1917, numerators are 6077,8343
Denominators are 302,1917
The GCF of 6077,8343 is 103 .
LCM of 302,1917 is 578934.
The greatest common factor of 6077/302,8343/1917 = [GCF of 6077,8343]/[LCM of 302,1917]= 103/578934
Therefore, the GCF of 6077/302,8343/1917 is 103/578934.
To find the highest common factor of 6077,8343, we have to find the factors of both numbers and list the highest common factor.
The factors of 6077 are 1, 59, 103, 6077
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The HCF of 6077,8343 is 103.
Lets's calculate GCF of 6077,8343
| 103 | 6077, 8343 |
| 59, 81 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 6077,8343 By Matching Biggest Common Factor Method
Now, list down the factors of 6077
:1,59,103,6077
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Greatest Common Factor
We found the factors 6077,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 6077,8343 is 103.
Lets's calculate LCM of 302,1917
Given numbers has no common factors except 1. So, there LCM is their product i.e 578934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/578934
Therefore, the GCF of Fractions 6077/302,8343/1917 is 103/578934
Least Common Multiple of 302,1917 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 302,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1917) x common factors =1 x 1 = 1
LCM(302,1917) = ( 302 × 1917 ) / 1
LCM(302,1917) = 578934 / 1
LCM(302,1917) = 578934
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FAQs on GCF of Fractions of 6077/302, 8343/1917
1. What is the HCF of 6077,8343?
The HCF of 6077,8343 is 103
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 6077/302, 8343/1917?
Answer: GCF of Numerators as per given numbers 6077/302, 8343/1917 is
GCF of Numerators i.e. for 6077,8343 is 103
LCM of denominators i.e. for 302,1917 is 578934.
Thus, GCF of Fractions is 103/578934.Finally, GCF of Fractions for 6077/302, 8343/1917 is 103/578934.