Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/36,719/46,613/70
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 219,719,613
Greatest Common Factor of Numerators i.e. GCF of 219,719,613 is 1 .
LCM of Denominators means LCM of 36,46,70 as per the given fractions.
LCM of 36,46,70 is 28980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,719,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 219,719,613 . The biggest common factor number is the GCF number.
So the greatest common factor 219,719,613 is 1.
Lets's calculate LCM of 36,46,70
2 | 36, 46, 70 |
18, 23, 35 |
∴ So the LCM of the given numbers is 2 x 18 x 23 x 35 = 28980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28980
Therefore, the GCF of Fractions 219/36,719/46,613/70 is 1/28980
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 36,46,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,46,70) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(36,46,70) x common factors =2 x 2 = 4
LCM(36,46,70) = ( 36 × 46 × 70 ) / 4
LCM(36,46,70) = 115920 / 4
LCM(36,46,70) = 28980
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 219/36, 719/46, 613/70?
Answer: GCF of Numerators as per given numbers 219/36, 719/46, 613/70 is
GCF of Numerators i.e. for 219,719,613 is 1
LCM of denominators i.e. for 36,46,70 is 28980.
Thus, GCF of Fractions is 1/28980.Finally, GCF of Fractions for 219/36, 719/46, 613/70 is 1/28980.