Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4700/116,2690/440
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 4700,2690
Greatest Common Factor of Numerators i.e. GCF of 4700,2690 is 10 .
LCM of Denominators means LCM of 116,440 as per the given fractions.
LCM of 116,440 is 12760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4700,2690
2 | 4700, 2690 |
5 | 2350, 1345 |
470, 269 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 4700
List of positive integer factors of 4700 that divides 4700 without a remainder.
1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700
Factors of 2690
List of positive integer factors of 2690 that divides 2690 without a remainder.
1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 4700,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 4700,2690 is 10.
Lets's calculate LCM of 116,440
2 | 116, 440 |
2 | 58, 220 |
29, 110 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 110 = 12760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12760
Therefore, the GCF of Fractions 4700/116,2690/440 is 10/12760
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 116,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,440) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,440) x common factors =4 x 1 = 4
LCM(116,440) = ( 116 × 440 ) / 4
LCM(116,440) = 51040 / 4
LCM(116,440) = 12760
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 4700/116, 2690/440?
Answer: GCF of Numerators as per given numbers 4700/116, 2690/440 is
GCF of Numerators i.e. for 4700,2690 is 10
LCM of denominators i.e. for 116,440 is 12760.
Thus, GCF of Fractions is 10/12760.Finally, GCF of Fractions for 4700/116, 2690/440 is 10/12760.