Use our free GCF of Fractions Calculator tool to compute the GCF of 5770/995, 8060/364 i.e 10/362180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5770/995, 8060/364.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5770/995,8060/364
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 5770/995,8060/364, numerators are 5770,8060
Denominators are 995,364
The GCF of 5770,8060 is 10 .
LCM of 995,364 is 362180.
The greatest common factor of 5770/995,8060/364 = [GCF of 5770,8060]/[LCM of 995,364]= 10/362180
Therefore, the GCF of 5770/995,8060/364 is 10/362180.
To find the highest common factor of 5770,8060, we have to find the factors of both numbers and list the highest common factor.
The factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The HCF of 5770,8060 is 10.
Lets's calculate GCF of 5770,8060
2 | 5770, 8060 |
5 | 2885, 4030 |
577, 806 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 5770
:1,2,5,10,577,1154,2885,5770
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 5770,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,8060 is 10.
Lets's calculate LCM of 995,364
Given numbers has no common factors except 1. So, there LCM is their product i.e 362180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/362180
Therefore, the GCF of Fractions 5770/995,8060/364 is 10/362180
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 995,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,364) x common factors =1 x 1 = 1
LCM(995,364) = ( 995 × 364 ) / 1
LCM(995,364) = 362180 / 1
LCM(995,364) = 362180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5770,8060?
The HCF of 5770,8060 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 5770/995, 8060/364?
Answer: GCF of Numerators as per given numbers 5770/995, 8060/364 is
GCF of Numerators i.e. for 5770,8060 is 10
LCM of denominators i.e. for 995,364 is 362180.
Thus, GCF of Fractions is 10/362180.Finally, GCF of Fractions for 5770/995, 8060/364 is 10/362180.