Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2240/43,4114/641
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 2240,4114
Greatest Common Factor of Numerators i.e. GCF of 2240,4114 is 2 .
LCM of Denominators means LCM of 43,641 as per the given fractions.
LCM of 43,641 is 27563 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2240,4114
2 | 2240, 4114 |
1120, 2057 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2240
List of positive integer factors of 2240 that divides 2240 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Factors of 4114
List of positive integer factors of 4114 that divides 4114 without a remainder.
1,2,11,17,22,34,121,187,242,374,2057,4114
Greatest Common Factor
We found the factors 2240,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,4114 is 2.
Lets's calculate LCM of 43,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 27563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27563
Therefore, the GCF of Fractions 2240/43,4114/641 is 2/27563
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 43,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,641) x common factors =1 x 1 = 1
LCM(43,641) = ( 43 × 641 ) / 1
LCM(43,641) = 27563 / 1
LCM(43,641) = 27563
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 2240/43, 4114/641?
Answer: GCF of Numerators as per given numbers 2240/43, 4114/641 is
GCF of Numerators i.e. for 2240,4114 is 2
LCM of denominators i.e. for 43,641 is 27563.
Thus, GCF of Fractions is 2/27563.Finally, GCF of Fractions for 2240/43, 4114/641 is 2/27563.