Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/17,441/84,661/22
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 371,441,661
Greatest Common Factor of Numerators i.e. GCF of 371,441,661 is 1 .
LCM of Denominators means LCM of 17,84,22 as per the given fractions.
LCM of 17,84,22 is 15708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 371,441,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 371,441,661 . The biggest common factor number is the GCF number.
So the greatest common factor 371,441,661 is 1.
Lets's calculate LCM of 17,84,22
2 | 17, 84, 22 |
17, 42, 11 |
∴ So the LCM of the given numbers is 2 x 17 x 42 x 11 = 15708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15708
Therefore, the GCF of Fractions 371/17,441/84,661/22 is 1/15708
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 17,84,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,84,22) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(17,84,22) x common factors =1 x 2 = 2
LCM(17,84,22) = ( 17 × 84 × 22 ) / 2
LCM(17,84,22) = 31416 / 2
LCM(17,84,22) = 15708
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 371/17, 441/84, 661/22?
Answer: GCF of Numerators as per given numbers 371/17, 441/84, 661/22 is
GCF of Numerators i.e. for 371,441,661 is 1
LCM of denominators i.e. for 17,84,22 is 15708.
Thus, GCF of Fractions is 1/15708.Finally, GCF of Fractions for 371/17, 441/84, 661/22 is 1/15708.