Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 340/744,2150/697
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 340,2150
Greatest Common Factor of Numerators i.e. GCF of 340,2150 is 10 .
LCM of Denominators means LCM of 744,697 as per the given fractions.
LCM of 744,697 is 518568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 340,2150
2 | 340, 2150 |
5 | 170, 1075 |
34, 215 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 2150
List of positive integer factors of 2150 that divides 2150 without a remainder.
1,2,5,10,25,43,50,86,215,430,1075,2150
Greatest Common Factor
We found the factors 340,2150 . The biggest common factor number is the GCF number.
So the greatest common factor 340,2150 is 10.
Lets's calculate LCM of 744,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 518568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/518568
Therefore, the GCF of Fractions 340/744,2150/697 is 10/518568
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 744,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(744,697) x common factors =1 x 1 = 1
LCM(744,697) = ( 744 × 697 ) / 1
LCM(744,697) = 518568 / 1
LCM(744,697) = 518568
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 340/744, 2150/697?
Answer: GCF of Numerators as per given numbers 340/744, 2150/697 is
GCF of Numerators i.e. for 340,2150 is 10
LCM of denominators i.e. for 744,697 is 518568.
Thus, GCF of Fractions is 10/518568.Finally, GCF of Fractions for 340/744, 2150/697 is 10/518568.