Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4490/961,2018/653
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 4490,2018
Greatest Common Factor of Numerators i.e. GCF of 4490,2018 is 2 .
LCM of Denominators means LCM of 961,653 as per the given fractions.
LCM of 961,653 is 627533 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4490,2018
2 | 4490, 2018 |
2245, 1009 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Factors of 2018
List of positive integer factors of 2018 that divides 2018 without a remainder.
1,2,1009,2018
Greatest Common Factor
We found the factors 4490,2018 . The biggest common factor number is the GCF number.
So the greatest common factor 4490,2018 is 2.
Lets's calculate LCM of 961,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 627533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/627533
Therefore, the GCF of Fractions 4490/961,2018/653 is 2/627533
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 961,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,653) x common factors =1 x 1 = 1
LCM(961,653) = ( 961 × 653 ) / 1
LCM(961,653) = 627533 / 1
LCM(961,653) = 627533
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 4490/961, 2018/653?
Answer: GCF of Numerators as per given numbers 4490/961, 2018/653 is
GCF of Numerators i.e. for 4490,2018 is 2
LCM of denominators i.e. for 961,653 is 627533.
Thus, GCF of Fractions is 2/627533.Finally, GCF of Fractions for 4490/961, 2018/653 is 2/627533.