Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2238/121,5650/3603
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 2238,5650
Greatest Common Factor of Numerators i.e. GCF of 2238,5650 is 2 .
LCM of Denominators means LCM of 121,3603 as per the given fractions.
LCM of 121,3603 is 435963 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2238,5650
2 | 2238, 5650 |
1119, 2825 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2238
List of positive integer factors of 2238 that divides 2238 without a remainder.
1,2,3,6,373,746,1119,2238
Factors of 5650
List of positive integer factors of 5650 that divides 5650 without a remainder.
1,2,5,10,25,50,113,226,565,1130,2825,5650
Greatest Common Factor
We found the factors 2238,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 2238,5650 is 2.
Lets's calculate LCM of 121,3603
Given numbers has no common factors except 1. So, there LCM is their product i.e 435963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/435963
Therefore, the GCF of Fractions 2238/121,5650/3603 is 2/435963
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 121,3603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,3603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,3603) x common factors =1 x 1 = 1
LCM(121,3603) = ( 121 × 3603 ) / 1
LCM(121,3603) = 435963 / 1
LCM(121,3603) = 435963
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 2238/121, 5650/3603?
Answer: GCF of Numerators as per given numbers 2238/121, 5650/3603 is
GCF of Numerators i.e. for 2238,5650 is 2
LCM of denominators i.e. for 121,3603 is 435963.
Thus, GCF of Fractions is 2/435963.Finally, GCF of Fractions for 2238/121, 5650/3603 is 2/435963.