GCF of 6185/56, 8340/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6185/56, 8340/328 i.e 5/2296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6185/56, 8340/328.
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 6185/56,8340/328?
Given fractions are 6185/56,8340/328
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 6185/56,8340/328, numerators are 6185,8340
Denominators are 56,328
The GCF of 6185,8340 is 5 .
LCM of 56,328 is 2296.
The greatest common factor of 6185/56,8340/328 = [GCF of 6185,8340]/[LCM of 56,328]= 5/2296
Therefore, the GCF of 6185/56,8340/328 is 5/2296.
To find the highest common factor of 6185,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 6185 are 1, 5, 1237, 6185
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 6185,8340 is 5.
Lets's calculate GCF of 6185,8340
| 5 | 6185, 8340 |
| 1237, 1668 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6185,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 6185
:1,5,1237,6185
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 6185,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 6185,8340 is 5.
Lets's calculate LCM of 56,328
| 2 | 56, 328 |
| 2 | 28, 164 |
| 2 | 14, 82 |
| 7, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 41 = 2296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2296
Therefore, the GCF of Fractions 6185/56,8340/328 is 5/2296
Least Common Multiple of 56,328 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 56,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,328) x common factors =8 x 1 = 8
LCM(56,328) = ( 56 × 328 ) / 8
LCM(56,328) = 18368 / 8
LCM(56,328) = 2296
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6185/56, 8340/328
1. What is the HCF of 6185,8340?
The HCF of 6185,8340 is 5
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 6185/56, 8340/328?
Answer: GCF of Numerators as per given numbers 6185/56, 8340/328 is
GCF of Numerators i.e. for 6185,8340 is 5
LCM of denominators i.e. for 56,328 is 2296.
Thus, GCF of Fractions is 5/2296.Finally, GCF of Fractions for 6185/56, 8340/328 is 5/2296.