Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8901/76,2117/450
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 8901,2117
Greatest Common Factor of Numerators i.e. GCF of 8901,2117 is 1 .
LCM of Denominators means LCM of 76,450 as per the given fractions.
LCM of 76,450 is 17100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8901,2117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8901
List of positive integer factors of 8901 that divides 8901 without a remainder.
1,3,9,23,43,69,129,207,387,989,2967,8901
Factors of 2117
List of positive integer factors of 2117 that divides 2117 without a remainder.
1,29,73,2117
Greatest Common Factor
We found the factors 8901,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 8901,2117 is 1.
Lets's calculate LCM of 76,450
2 | 76, 450 |
38, 225 |
∴ So the LCM of the given numbers is 2 x 38 x 225 = 17100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17100
Therefore, the GCF of Fractions 8901/76,2117/450 is 1/17100
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 76,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,450) x common factors =2 x 1 = 2
LCM(76,450) = ( 76 × 450 ) / 2
LCM(76,450) = 34200 / 2
LCM(76,450) = 17100
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 8901/76, 2117/450?
Answer: GCF of Numerators as per given numbers 8901/76, 2117/450 is
GCF of Numerators i.e. for 8901,2117 is 1
LCM of denominators i.e. for 76,450 is 17100.
Thus, GCF of Fractions is 1/17100.Finally, GCF of Fractions for 8901/76, 2117/450 is 1/17100.