Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/87,1945/744
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 403,1945
Greatest Common Factor of Numerators i.e. GCF of 403,1945 is 1 .
LCM of Denominators means LCM of 87,744 as per the given fractions.
LCM of 87,744 is 21576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 1945
List of positive integer factors of 1945 that divides 1945 without a remainder.
1,5,389,1945
Greatest Common Factor
We found the factors 403,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 403,1945 is 1.
Lets's calculate LCM of 87,744
3 | 87, 744 |
29, 248 |
∴ So the LCM of the given numbers is 3 x 29 x 248 = 21576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21576
Therefore, the GCF of Fractions 403/87,1945/744 is 1/21576
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 87,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,744) x common factors =3 x 1 = 3
LCM(87,744) = ( 87 × 744 ) / 3
LCM(87,744) = 64728 / 3
LCM(87,744) = 21576
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 403/87, 1945/744?
Answer: GCF of Numerators as per given numbers 403/87, 1945/744 is
GCF of Numerators i.e. for 403,1945 is 1
LCM of denominators i.e. for 87,744 is 21576.
Thus, GCF of Fractions is 1/21576.Finally, GCF of Fractions for 403/87, 1945/744 is 1/21576.