Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/79,37/62,909/563
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 26,37,909
Greatest Common Factor of Numerators i.e. GCF of 26,37,909 is 1 .
LCM of Denominators means LCM of 79,62,563 as per the given fractions.
LCM of 79,62,563 is 2757574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,37,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Greatest Common Factor
We found the factors 26,37,909 . The biggest common factor number is the GCF number.
So the greatest common factor 26,37,909 is 1.
Lets's calculate LCM of 79,62,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 2757574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2757574
Therefore, the GCF of Fractions 26/79,37/62,909/563 is 1/2757574
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 79,62,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,62,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,62,563) x common factors =1 x 1 = 1
LCM(79,62,563) = ( 79 × 62 × 563 ) / 1
LCM(79,62,563) = 2757574 / 1
LCM(79,62,563) = 2757574
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 26/79, 37/62, 909/563?
Answer: GCF of Numerators as per given numbers 26/79, 37/62, 909/563 is
GCF of Numerators i.e. for 26,37,909 is 1
LCM of denominators i.e. for 79,62,563 is 2757574.
Thus, GCF of Fractions is 1/2757574.Finally, GCF of Fractions for 26/79, 37/62, 909/563 is 1/2757574.