Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 760/17,820/9993
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 760,820
Greatest Common Factor of Numerators i.e. GCF of 760,820 is 20 .
LCM of Denominators means LCM of 17,9993 as per the given fractions.
LCM of 17,9993 is 169881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 760,820
2 | 760, 820 |
2 | 380, 410 |
5 | 190, 205 |
38, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 760,820 . The biggest common factor number is the GCF number.
So the greatest common factor 760,820 is 20.
Lets's calculate LCM of 17,9993
Given numbers has no common factors except 1. So, there LCM is their product i.e 169881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/169881
Therefore, the GCF of Fractions 760/17,820/9993 is 20/169881
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 17,9993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,9993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,9993) x common factors =1 x 1 = 1
LCM(17,9993) = ( 17 × 9993 ) / 1
LCM(17,9993) = 169881 / 1
LCM(17,9993) = 169881
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 760/17, 820/9993?
Answer: GCF of Numerators as per given numbers 760/17, 820/9993 is
GCF of Numerators i.e. for 760,820 is 20
LCM of denominators i.e. for 17,9993 is 169881.
Thus, GCF of Fractions is 20/169881.Finally, GCF of Fractions for 760/17, 820/9993 is 20/169881.