Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 235/82,525/9058
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 235,525
Greatest Common Factor of Numerators i.e. GCF of 235,525 is 5 .
LCM of Denominators means LCM of 82,9058 as per the given fractions.
LCM of 82,9058 is 371378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 235,525
5 | 235, 525 |
47, 105 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 235,525 . The biggest common factor number is the GCF number.
So the greatest common factor 235,525 is 5.
Lets's calculate LCM of 82,9058
2 | 82, 9058 |
41, 4529 |
∴ So the LCM of the given numbers is 2 x 41 x 4529 = 371378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/371378
Therefore, the GCF of Fractions 235/82,525/9058 is 5/371378
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 82,9058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,9058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,9058) x common factors =2 x 1 = 2
LCM(82,9058) = ( 82 × 9058 ) / 2
LCM(82,9058) = 742756 / 2
LCM(82,9058) = 371378
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 235/82, 525/9058?
Answer: GCF of Numerators as per given numbers 235/82, 525/9058 is
GCF of Numerators i.e. for 235,525 is 5
LCM of denominators i.e. for 82,9058 is 371378.
Thus, GCF of Fractions is 5/371378.Finally, GCF of Fractions for 235/82, 525/9058 is 5/371378.