Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 535/430,418/172,606/135
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 535,418,606
Greatest Common Factor of Numerators i.e. GCF of 535,418,606 is 1 .
LCM of Denominators means LCM of 430,172,135 as per the given fractions.
LCM of 430,172,135 is 23220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 535,418,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 535,418,606 . The biggest common factor number is the GCF number.
So the greatest common factor 535,418,606 is 1.
Lets's calculate LCM of 430,172,135
2 | 430, 172, 135 |
5 | 215, 86, 135 |
43 | 43, 86, 27 |
1, 2, 27 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 2 x 27 = 23220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23220
Therefore, the GCF of Fractions 535/430,418/172,606/135 is 1/23220
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 430,172,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,172,135) = 1
common factors(in case of two or more numbers have common factors) = 430
GCF(430,172,135) x common factors =1 x 430 = 430
LCM(430,172,135) = ( 430 × 172 × 135 ) / 430
LCM(430,172,135) = 9984600 / 430
LCM(430,172,135) = 23220
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 535/430, 418/172, 606/135?
Answer: GCF of Numerators as per given numbers 535/430, 418/172, 606/135 is
GCF of Numerators i.e. for 535,418,606 is 1
LCM of denominators i.e. for 430,172,135 is 23220.
Thus, GCF of Fractions is 1/23220.Finally, GCF of Fractions for 535/430, 418/172, 606/135 is 1/23220.