Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/70,659/52,866/204
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 21,659,866
Greatest Common Factor of Numerators i.e. GCF of 21,659,866 is 1 .
LCM of Denominators means LCM of 70,52,204 as per the given fractions.
LCM of 70,52,204 is 92820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,659,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 21,659,866 . The biggest common factor number is the GCF number.
So the greatest common factor 21,659,866 is 1.
Lets's calculate LCM of 70,52,204
2 | 70, 52, 204 |
2 | 35, 26, 102 |
35, 13, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 13 x 51 = 92820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92820
Therefore, the GCF of Fractions 21/70,659/52,866/204 is 1/92820
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 70,52,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,52,204) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(70,52,204) x common factors =2 x 4 = 8
LCM(70,52,204) = ( 70 × 52 × 204 ) / 8
LCM(70,52,204) = 742560 / 8
LCM(70,52,204) = 92820
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 21/70, 659/52, 866/204?
Answer: GCF of Numerators as per given numbers 21/70, 659/52, 866/204 is
GCF of Numerators i.e. for 21,659,866 is 1
LCM of denominators i.e. for 70,52,204 is 92820.
Thus, GCF of Fractions is 1/92820.Finally, GCF of Fractions for 21/70, 659/52, 866/204 is 1/92820.