Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/215,1963/459
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 975,1963
Greatest Common Factor of Numerators i.e. GCF of 975,1963 is 13 .
LCM of Denominators means LCM of 215,459 as per the given fractions.
LCM of 215,459 is 98685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,1963
13 | 975, 1963 |
75, 151 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 1963
List of positive integer factors of 1963 that divides 1963 without a remainder.
1,13,151,1963
Greatest Common Factor
We found the factors 975,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 975,1963 is 13.
Lets's calculate LCM of 215,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 98685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/98685
Therefore, the GCF of Fractions 975/215,1963/459 is 13/98685
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 215,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,459) x common factors =1 x 1 = 1
LCM(215,459) = ( 215 × 459 ) / 1
LCM(215,459) = 98685 / 1
LCM(215,459) = 98685
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 975/215, 1963/459?
Answer: GCF of Numerators as per given numbers 975/215, 1963/459 is
GCF of Numerators i.e. for 975,1963 is 13
LCM of denominators i.e. for 215,459 is 98685.
Thus, GCF of Fractions is 13/98685.Finally, GCF of Fractions for 975/215, 1963/459 is 13/98685.