Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4225/90,2275/670
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 4225,2275
Greatest Common Factor of Numerators i.e. GCF of 4225,2275 is 325 .
LCM of Denominators means LCM of 90,670 as per the given fractions.
LCM of 90,670 is 6030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4225,2275
5 | 4225, 2275 |
5 | 845, 455 |
13 | 169, 91 |
13, 7 |
∴ So the GCF of the given numbers is 5 x 5 x 13 = 325
Factors of 4225
List of positive integer factors of 4225 that divides 4225 without a remainder.
1,5,13,25,65,169,325,845,4225
Factors of 2275
List of positive integer factors of 2275 that divides 2275 without a remainder.
1,5,7,13,25,35,65,91,175,325,455,2275
Greatest Common Factor
We found the factors 4225,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 4225,2275 is 325.
Lets's calculate LCM of 90,670
2 | 90, 670 |
5 | 45, 335 |
9, 67 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 67 = 6030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 325/6030
Therefore, the GCF of Fractions 4225/90,2275/670 is 325/6030
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 90,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,670) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(90,670) x common factors =10 x 1 = 10
LCM(90,670) = ( 90 × 670 ) / 10
LCM(90,670) = 60300 / 10
LCM(90,670) = 6030
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 4225/90, 2275/670?
Answer: GCF of Numerators as per given numbers 4225/90, 2275/670 is
GCF of Numerators i.e. for 4225,2275 is 325
LCM of denominators i.e. for 90,670 is 6030.
Thus, GCF of Fractions is 325/6030.Finally, GCF of Fractions for 4225/90, 2275/670 is 325/6030.