Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/62,767/65,998/51
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 38,767,998
Greatest Common Factor of Numerators i.e. GCF of 38,767,998 is 1 .
LCM of Denominators means LCM of 62,65,51 as per the given fractions.
LCM of 62,65,51 is 205530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,767,998
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 38,767,998 . The biggest common factor number is the GCF number.
So the greatest common factor 38,767,998 is 1.
Lets's calculate LCM of 62,65,51
Given numbers has no common factors except 1. So, there LCM is their product i.e 205530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205530
Therefore, the GCF of Fractions 38/62,767/65,998/51 is 1/205530
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 62,65,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,65,51) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,65,51) x common factors =1 x 1 = 1
LCM(62,65,51) = ( 62 × 65 × 51 ) / 1
LCM(62,65,51) = 205530 / 1
LCM(62,65,51) = 205530
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 38/62, 767/65, 998/51?
Answer: GCF of Numerators as per given numbers 38/62, 767/65, 998/51 is
GCF of Numerators i.e. for 38,767,998 is 1
LCM of denominators i.e. for 62,65,51 is 205530.
Thus, GCF of Fractions is 1/205530.Finally, GCF of Fractions for 38/62, 767/65, 998/51 is 1/205530.