Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/109,909/768,694/547
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 83,909,694
Greatest Common Factor of Numerators i.e. GCF of 83,909,694 is 1 .
LCM of Denominators means LCM of 109,768,547 as per the given fractions.
LCM of 109,768,547 is 45790464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,909,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 83,909,694 . The biggest common factor number is the GCF number.
So the greatest common factor 83,909,694 is 1.
Lets's calculate LCM of 109,768,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 45790464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45790464
Therefore, the GCF of Fractions 83/109,909/768,694/547 is 1/45790464
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 109,768,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,768,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,768,547) x common factors =1 x 1 = 1
LCM(109,768,547) = ( 109 × 768 × 547 ) / 1
LCM(109,768,547) = 45790464 / 1
LCM(109,768,547) = 45790464
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 83/109, 909/768, 694/547?
Answer: GCF of Numerators as per given numbers 83/109, 909/768, 694/547 is
GCF of Numerators i.e. for 83,909,694 is 1
LCM of denominators i.e. for 109,768,547 is 45790464.
Thus, GCF of Fractions is 1/45790464.Finally, GCF of Fractions for 83/109, 909/768, 694/547 is 1/45790464.