Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 286/71,785/21,526/97
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 286,785,526
Greatest Common Factor of Numerators i.e. GCF of 286,785,526 is 1 .
LCM of Denominators means LCM of 71,21,97 as per the given fractions.
LCM of 71,21,97 is 144627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 286,785,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 286,785,526 . The biggest common factor number is the GCF number.
So the greatest common factor 286,785,526 is 1.
Lets's calculate LCM of 71,21,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 144627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144627
Therefore, the GCF of Fractions 286/71,785/21,526/97 is 1/144627
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 71,21,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,21,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,21,97) x common factors =1 x 1 = 1
LCM(71,21,97) = ( 71 × 21 × 97 ) / 1
LCM(71,21,97) = 144627 / 1
LCM(71,21,97) = 144627
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 286/71, 785/21, 526/97?
Answer: GCF of Numerators as per given numbers 286/71, 785/21, 526/97 is
GCF of Numerators i.e. for 286,785,526 is 1
LCM of denominators i.e. for 71,21,97 is 144627.
Thus, GCF of Fractions is 1/144627.Finally, GCF of Fractions for 286/71, 785/21, 526/97 is 1/144627.