Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/43,400/92,519/422
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 697,400,519
Greatest Common Factor of Numerators i.e. GCF of 697,400,519 is 1 .
LCM of Denominators means LCM of 43,92,422 as per the given fractions.
LCM of 43,92,422 is 834716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 697,400,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 697,400,519 . The biggest common factor number is the GCF number.
So the greatest common factor 697,400,519 is 1.
Lets's calculate LCM of 43,92,422
2 | 43, 92, 422 |
43, 46, 211 |
∴ So the LCM of the given numbers is 2 x 43 x 46 x 211 = 834716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834716
Therefore, the GCF of Fractions 697/43,400/92,519/422 is 1/834716
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 43,92,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,92,422) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,92,422) x common factors =1 x 2 = 2
LCM(43,92,422) = ( 43 × 92 × 422 ) / 2
LCM(43,92,422) = 1669432 / 2
LCM(43,92,422) = 834716
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 697/43, 400/92, 519/422?
Answer: GCF of Numerators as per given numbers 697/43, 400/92, 519/422 is
GCF of Numerators i.e. for 697,400,519 is 1
LCM of denominators i.e. for 43,92,422 is 834716.
Thus, GCF of Fractions is 1/834716.Finally, GCF of Fractions for 697/43, 400/92, 519/422 is 1/834716.