Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/861,20/236,747/709
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 76,20,747
Greatest Common Factor of Numerators i.e. GCF of 76,20,747 is 1 .
LCM of Denominators means LCM of 861,236,709 as per the given fractions.
LCM of 861,236,709 is 144065964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,20,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 76,20,747 . The biggest common factor number is the GCF number.
So the greatest common factor 76,20,747 is 1.
Lets's calculate LCM of 861,236,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 144065964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144065964
Therefore, the GCF of Fractions 76/861,20/236,747/709 is 1/144065964
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 861,236,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,236,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,236,709) x common factors =1 x 1 = 1
LCM(861,236,709) = ( 861 × 236 × 709 ) / 1
LCM(861,236,709) = 144065964 / 1
LCM(861,236,709) = 144065964
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 76/861, 20/236, 747/709?
Answer: GCF of Numerators as per given numbers 76/861, 20/236, 747/709 is
GCF of Numerators i.e. for 76,20,747 is 1
LCM of denominators i.e. for 861,236,709 is 144065964.
Thus, GCF of Fractions is 1/144065964.Finally, GCF of Fractions for 76/861, 20/236, 747/709 is 1/144065964.