Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/25,30/37,610/107
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 21,30,610
Greatest Common Factor of Numerators i.e. GCF of 21,30,610 is 1 .
LCM of Denominators means LCM of 25,37,107 as per the given fractions.
LCM of 25,37,107 is 98975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,30,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 21,30,610 . The biggest common factor number is the GCF number.
So the greatest common factor 21,30,610 is 1.
Lets's calculate LCM of 25,37,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 98975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98975
Therefore, the GCF of Fractions 21/25,30/37,610/107 is 1/98975
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 25,37,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,37,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,37,107) x common factors =1 x 1 = 1
LCM(25,37,107) = ( 25 × 37 × 107 ) / 1
LCM(25,37,107) = 98975 / 1
LCM(25,37,107) = 98975
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 21/25, 30/37, 610/107?
Answer: GCF of Numerators as per given numbers 21/25, 30/37, 610/107 is
GCF of Numerators i.e. for 21,30,610 is 1
LCM of denominators i.e. for 25,37,107 is 98975.
Thus, GCF of Fractions is 1/98975.Finally, GCF of Fractions for 21/25, 30/37, 610/107 is 1/98975.