Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5455/987,4898/669
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 5455,4898
Greatest Common Factor of Numerators i.e. GCF of 5455,4898 is 1 .
LCM of Denominators means LCM of 987,669 as per the given fractions.
LCM of 987,669 is 220101 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5455,4898
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5455
List of positive integer factors of 5455 that divides 5455 without a remainder.
1,5,1091,5455
Factors of 4898
List of positive integer factors of 4898 that divides 4898 without a remainder.
1,2,31,62,79,158,2449,4898
Greatest Common Factor
We found the factors 5455,4898 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,4898 is 1.
Lets's calculate LCM of 987,669
3 | 987, 669 |
329, 223 |
∴ So the LCM of the given numbers is 3 x 329 x 223 = 220101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220101
Therefore, the GCF of Fractions 5455/987,4898/669 is 1/220101
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 987,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,669) x common factors =3 x 1 = 3
LCM(987,669) = ( 987 × 669 ) / 3
LCM(987,669) = 660303 / 3
LCM(987,669) = 220101
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 5455/987, 4898/669?
Answer: GCF of Numerators as per given numbers 5455/987, 4898/669 is
GCF of Numerators i.e. for 5455,4898 is 1
LCM of denominators i.e. for 987,669 is 220101.
Thus, GCF of Fractions is 1/220101.Finally, GCF of Fractions for 5455/987, 4898/669 is 1/220101.