Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/11,572/71,519/61
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 10,572,519
Greatest Common Factor of Numerators i.e. GCF of 10,572,519 is 1 .
LCM of Denominators means LCM of 11,71,61 as per the given fractions.
LCM of 11,71,61 is 47641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,572,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
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 10,572,519 . The biggest common factor number is the GCF number.
So the greatest common factor 10,572,519 is 1.
Lets's calculate LCM of 11,71,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 47641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47641
Therefore, the GCF of Fractions 10/11,572/71,519/61 is 1/47641
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 11,71,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,71,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,71,61) x common factors =1 x 1 = 1
LCM(11,71,61) = ( 11 × 71 × 61 ) / 1
LCM(11,71,61) = 47641 / 1
LCM(11,71,61) = 47641
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 10/11, 572/71, 519/61?
Answer: GCF of Numerators as per given numbers 10/11, 572/71, 519/61 is
GCF of Numerators i.e. for 10,572,519 is 1
LCM of denominators i.e. for 11,71,61 is 47641.
Thus, GCF of Fractions is 1/47641.Finally, GCF of Fractions for 10/11, 572/71, 519/61 is 1/47641.