Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5493/40,3701/980
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 5493,3701
Greatest Common Factor of Numerators i.e. GCF of 5493,3701 is 1 .
LCM of Denominators means LCM of 40,980 as per the given fractions.
LCM of 40,980 is 1960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5493,3701
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5493
List of positive integer factors of 5493 that divides 5493 without a remainder.
1,3,1831,5493
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1,3701
Greatest Common Factor
We found the factors 5493,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,3701 is 1.
Lets's calculate LCM of 40,980
2 | 40, 980 |
2 | 20, 490 |
5 | 10, 245 |
2, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 49 = 1960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1960
Therefore, the GCF of Fractions 5493/40,3701/980 is 1/1960
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 40,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,980) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(40,980) x common factors =20 x 1 = 20
LCM(40,980) = ( 40 × 980 ) / 20
LCM(40,980) = 39200 / 20
LCM(40,980) = 1960
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 5493/40, 3701/980?
Answer: GCF of Numerators as per given numbers 5493/40, 3701/980 is
GCF of Numerators i.e. for 5493,3701 is 1
LCM of denominators i.e. for 40,980 is 1960.
Thus, GCF of Fractions is 1/1960.Finally, GCF of Fractions for 5493/40, 3701/980 is 1/1960.