Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 526/79,784/73,137/839
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 526,784,137
Greatest Common Factor of Numerators i.e. GCF of 526,784,137 is 1 .
LCM of Denominators means LCM of 79,73,839 as per the given fractions.
LCM of 79,73,839 is 4838513 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 526,784,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 526,784,137 . The biggest common factor number is the GCF number.
So the greatest common factor 526,784,137 is 1.
Lets's calculate LCM of 79,73,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 4838513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4838513
Therefore, the GCF of Fractions 526/79,784/73,137/839 is 1/4838513
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 79,73,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,73,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,73,839) x common factors =1 x 1 = 1
LCM(79,73,839) = ( 79 × 73 × 839 ) / 1
LCM(79,73,839) = 4838513 / 1
LCM(79,73,839) = 4838513
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 526/79, 784/73, 137/839?
Answer: GCF of Numerators as per given numbers 526/79, 784/73, 137/839 is
GCF of Numerators i.e. for 526,784,137 is 1
LCM of denominators i.e. for 79,73,839 is 4838513.
Thus, GCF of Fractions is 1/4838513.Finally, GCF of Fractions for 526/79, 784/73, 137/839 is 1/4838513.