Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/45,25/225,842/517
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 34,25,842
Greatest Common Factor of Numerators i.e. GCF of 34,25,842 is 1 .
LCM of Denominators means LCM of 45,225,517 as per the given fractions.
LCM of 45,225,517 is 116325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,25,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 34,25,842 . The biggest common factor number is the GCF number.
So the greatest common factor 34,25,842 is 1.
Lets's calculate LCM of 45,225,517
3 | 45, 225, 517 |
3 | 15, 75, 517 |
5 | 5, 25, 517 |
1, 5, 517 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 5 x 517 = 116325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116325
Therefore, the GCF of Fractions 34/45,25/225,842/517 is 1/116325
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 45,225,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,225,517) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(45,225,517) x common factors =1 x 45 = 45
LCM(45,225,517) = ( 45 × 225 × 517 ) / 45
LCM(45,225,517) = 5234625 / 45
LCM(45,225,517) = 116325
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 34/45, 25/225, 842/517?
Answer: GCF of Numerators as per given numbers 34/45, 25/225, 842/517 is
GCF of Numerators i.e. for 34,25,842 is 1
LCM of denominators i.e. for 45,225,517 is 116325.
Thus, GCF of Fractions is 1/116325.Finally, GCF of Fractions for 34/45, 25/225, 842/517 is 1/116325.