Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 340/55,7463/116
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 340,7463
Greatest Common Factor of Numerators i.e. GCF of 340,7463 is 17 .
LCM of Denominators means LCM of 55,116 as per the given fractions.
LCM of 55,116 is 6380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 340,7463
17 | 340, 7463 |
20, 439 |
∴ So the GCF of the given numbers is 17 = 17
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 7463
List of positive integer factors of 7463 that divides 7463 without a remainder.
1,17,439,7463
Greatest Common Factor
We found the factors 340,7463 . The biggest common factor number is the GCF number.
So the greatest common factor 340,7463 is 17.
Lets's calculate LCM of 55,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 6380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6380
Therefore, the GCF of Fractions 340/55,7463/116 is 17/6380
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 55,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,116) x common factors =1 x 1 = 1
LCM(55,116) = ( 55 × 116 ) / 1
LCM(55,116) = 6380 / 1
LCM(55,116) = 6380
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 340/55, 7463/116?
Answer: GCF of Numerators as per given numbers 340/55, 7463/116 is
GCF of Numerators i.e. for 340,7463 is 17
LCM of denominators i.e. for 55,116 is 6380.
Thus, GCF of Fractions is 17/6380.Finally, GCF of Fractions for 340/55, 7463/116 is 17/6380.