Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 972/407,275/487
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 972,275
Greatest Common Factor of Numerators i.e. GCF of 972,275 is 1 .
LCM of Denominators means LCM of 407,487 as per the given fractions.
LCM of 407,487 is 198209 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 972,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 972,275 . The biggest common factor number is the GCF number.
So the greatest common factor 972,275 is 1.
Lets's calculate LCM of 407,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 198209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198209
Therefore, the GCF of Fractions 972/407,275/487 is 1/198209
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 407,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,487) x common factors =1 x 1 = 1
LCM(407,487) = ( 407 × 487 ) / 1
LCM(407,487) = 198209 / 1
LCM(407,487) = 198209
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 972/407, 275/487?
Answer: GCF of Numerators as per given numbers 972/407, 275/487 is
GCF of Numerators i.e. for 972,275 is 1
LCM of denominators i.e. for 407,487 is 198209.
Thus, GCF of Fractions is 1/198209.Finally, GCF of Fractions for 972/407, 275/487 is 1/198209.