Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/51,50/756,314/732
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 29,50,314
Greatest Common Factor of Numerators i.e. GCF of 29,50,314 is 1 .
LCM of Denominators means LCM of 51,756,732 as per the given fractions.
LCM of 51,756,732 is 783972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,50,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 29,50,314 . The biggest common factor number is the GCF number.
So the greatest common factor 29,50,314 is 1.
Lets's calculate LCM of 51,756,732
2 | 51, 756, 732 |
2 | 51, 378, 366 |
3 | 51, 189, 183 |
17, 63, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 63 x 61 = 783972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783972
Therefore, the GCF of Fractions 29/51,50/756,314/732 is 1/783972
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 51,756,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,756,732) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(51,756,732) x common factors =3 x 12 = 36
LCM(51,756,732) = ( 51 × 756 × 732 ) / 36
LCM(51,756,732) = 28222992 / 36
LCM(51,756,732) = 783972
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 29/51, 50/756, 314/732?
Answer: GCF of Numerators as per given numbers 29/51, 50/756, 314/732 is
GCF of Numerators i.e. for 29,50,314 is 1
LCM of denominators i.e. for 51,756,732 is 783972.
Thus, GCF of Fractions is 1/783972.Finally, GCF of Fractions for 29/51, 50/756, 314/732 is 1/783972.