Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/24,269/69,953/780
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 115,269,953
Greatest Common Factor of Numerators i.e. GCF of 115,269,953 is 1 .
LCM of Denominators means LCM of 24,69,780 as per the given fractions.
LCM of 24,69,780 is 35880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,269,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 115,269,953 . The biggest common factor number is the GCF number.
So the greatest common factor 115,269,953 is 1.
Lets's calculate LCM of 24,69,780
2 | 24, 69, 780 |
2 | 12, 69, 390 |
3 | 6, 69, 195 |
2, 23, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 23 x 65 = 35880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35880
Therefore, the GCF of Fractions 115/24,269/69,953/780 is 1/35880
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 24,69,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,69,780) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(24,69,780) x common factors =3 x 12 = 36
LCM(24,69,780) = ( 24 × 69 × 780 ) / 36
LCM(24,69,780) = 1291680 / 36
LCM(24,69,780) = 35880
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 115/24, 269/69, 953/780?
Answer: GCF of Numerators as per given numbers 115/24, 269/69, 953/780 is
GCF of Numerators i.e. for 115,269,953 is 1
LCM of denominators i.e. for 24,69,780 is 35880.
Thus, GCF of Fractions is 1/35880.Finally, GCF of Fractions for 115/24, 269/69, 953/780 is 1/35880.