Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/25,3581/370
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 946,3581
Greatest Common Factor of Numerators i.e. GCF of 946,3581 is 1 .
LCM of Denominators means LCM of 25,370 as per the given fractions.
LCM of 25,370 is 1850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,3581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 3581
List of positive integer factors of 3581 that divides 3581 without a remainder.
1,3581
Greatest Common Factor
We found the factors 946,3581 . The biggest common factor number is the GCF number.
So the greatest common factor 946,3581 is 1.
Lets's calculate LCM of 25,370
5 | 25, 370 |
5, 74 |
∴ So the LCM of the given numbers is 5 x 5 x 74 = 1850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1850
Therefore, the GCF of Fractions 946/25,3581/370 is 1/1850
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 25,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,370) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,370) x common factors =5 x 1 = 5
LCM(25,370) = ( 25 × 370 ) / 5
LCM(25,370) = 9250 / 5
LCM(25,370) = 1850
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 946/25, 3581/370?
Answer: GCF of Numerators as per given numbers 946/25, 3581/370 is
GCF of Numerators i.e. for 946,3581 is 1
LCM of denominators i.e. for 25,370 is 1850.
Thus, GCF of Fractions is 1/1850.Finally, GCF of Fractions for 946/25, 3581/370 is 1/1850.