Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/135,519/194,740/714
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 155,519,740
Greatest Common Factor of Numerators i.e. GCF of 155,519,740 is 1 .
LCM of Denominators means LCM of 135,194,714 as per the given fractions.
LCM of 135,194,714 is 3116610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 155,519,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 155,519,740 . The biggest common factor number is the GCF number.
So the greatest common factor 155,519,740 is 1.
Lets's calculate LCM of 135,194,714
2 | 135, 194, 714 |
3 | 135, 97, 357 |
45, 97, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 97 x 119 = 3116610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3116610
Therefore, the GCF of Fractions 155/135,519/194,740/714 is 1/3116610
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 135,194,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,194,714) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(135,194,714) x common factors =1 x 6 = 6
LCM(135,194,714) = ( 135 × 194 × 714 ) / 6
LCM(135,194,714) = 18699660 / 6
LCM(135,194,714) = 3116610
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 155/135, 519/194, 740/714?
Answer: GCF of Numerators as per given numbers 155/135, 519/194, 740/714 is
GCF of Numerators i.e. for 155,519,740 is 1
LCM of denominators i.e. for 135,194,714 is 3116610.
Thus, GCF of Fractions is 1/3116610.Finally, GCF of Fractions for 155/135, 519/194, 740/714 is 1/3116610.