Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/102,61/510,453/212
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 96,61,453
Greatest Common Factor of Numerators i.e. GCF of 96,61,453 is 1 .
LCM of Denominators means LCM of 102,510,212 as per the given fractions.
LCM of 102,510,212 is 54060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,61,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 96,61,453 . The biggest common factor number is the GCF number.
So the greatest common factor 96,61,453 is 1.
Lets's calculate LCM of 102,510,212
2 | 102, 510, 212 |
3 | 51, 255, 106 |
17 | 17, 85, 106 |
1, 5, 106 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 5 x 106 = 54060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54060
Therefore, the GCF of Fractions 96/102,61/510,453/212 is 1/54060
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 102,510,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,510,212) = 2
common factors(in case of two or more numbers have common factors) = 102
GCF(102,510,212) x common factors =2 x 102 = 204
LCM(102,510,212) = ( 102 × 510 × 212 ) / 204
LCM(102,510,212) = 11028240 / 204
LCM(102,510,212) = 54060
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 96/102, 61/510, 453/212?
Answer: GCF of Numerators as per given numbers 96/102, 61/510, 453/212 is
GCF of Numerators i.e. for 96,61,453 is 1
LCM of denominators i.e. for 102,510,212 is 54060.
Thus, GCF of Fractions is 1/54060.Finally, GCF of Fractions for 96/102, 61/510, 453/212 is 1/54060.