Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 112/69,611/54,435/529
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 112,611,435
Greatest Common Factor of Numerators i.e. GCF of 112,611,435 is 1 .
LCM of Denominators means LCM of 69,54,529 as per the given fractions.
LCM of 69,54,529 is 28566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 112,611,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 112,611,435 . The biggest common factor number is the GCF number.
So the greatest common factor 112,611,435 is 1.
Lets's calculate LCM of 69,54,529
3 | 69, 54, 529 |
23 | 23, 18, 529 |
1, 18, 23 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 18 x 23 = 28566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28566
Therefore, the GCF of Fractions 112/69,611/54,435/529 is 1/28566
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 69,54,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,54,529) = 1
common factors(in case of two or more numbers have common factors) = 69
GCF(69,54,529) x common factors =1 x 69 = 69
LCM(69,54,529) = ( 69 × 54 × 529 ) / 69
LCM(69,54,529) = 1971054 / 69
LCM(69,54,529) = 28566
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 112/69, 611/54, 435/529?
Answer: GCF of Numerators as per given numbers 112/69, 611/54, 435/529 is
GCF of Numerators i.e. for 112,611,435 is 1
LCM of denominators i.e. for 69,54,529 is 28566.
Thus, GCF of Fractions is 1/28566.Finally, GCF of Fractions for 112/69, 611/54, 435/529 is 1/28566.