Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/25,382/65,622/34
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 4,382,622
Greatest Common Factor of Numerators i.e. GCF of 4,382,622 is 2 .
LCM of Denominators means LCM of 25,65,34 as per the given fractions.
LCM of 25,65,34 is 11050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,382,622
2 | 4, 382, 622 |
2, 191, 311 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 4,382,622 . The biggest common factor number is the GCF number.
So the greatest common factor 4,382,622 is 2.
Lets's calculate LCM of 25,65,34
5 | 25, 65, 34 |
5, 13, 34 |
∴ So the LCM of the given numbers is 5 x 5 x 13 x 34 = 11050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11050
Therefore, the GCF of Fractions 4/25,382/65,622/34 is 2/11050
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 25,65,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,65,34) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,65,34) x common factors =1 x 5 = 5
LCM(25,65,34) = ( 25 × 65 × 34 ) / 5
LCM(25,65,34) = 55250 / 5
LCM(25,65,34) = 11050
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 4/25, 382/65, 622/34?
Answer: GCF of Numerators as per given numbers 4/25, 382/65, 622/34 is
GCF of Numerators i.e. for 4,382,622 is 2
LCM of denominators i.e. for 25,65,34 is 11050.
Thus, GCF of Fractions is 2/11050.Finally, GCF of Fractions for 4/25, 382/65, 622/34 is 2/11050.