Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/26,485/19,980/603
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 82,485,980
Greatest Common Factor of Numerators i.e. GCF of 82,485,980 is 1 .
LCM of Denominators means LCM of 26,19,603 as per the given fractions.
LCM of 26,19,603 is 297882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,485,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 82,485,980 . The biggest common factor number is the GCF number.
So the greatest common factor 82,485,980 is 1.
Lets's calculate LCM of 26,19,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 297882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297882
Therefore, the GCF of Fractions 82/26,485/19,980/603 is 1/297882
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 26,19,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,19,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,19,603) x common factors =1 x 1 = 1
LCM(26,19,603) = ( 26 × 19 × 603 ) / 1
LCM(26,19,603) = 297882 / 1
LCM(26,19,603) = 297882
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 82/26, 485/19, 980/603?
Answer: GCF of Numerators as per given numbers 82/26, 485/19, 980/603 is
GCF of Numerators i.e. for 82,485,980 is 1
LCM of denominators i.e. for 26,19,603 is 297882.
Thus, GCF of Fractions is 1/297882.Finally, GCF of Fractions for 82/26, 485/19, 980/603 is 1/297882.