Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3733/944,3622/750
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 3733,3622
Greatest Common Factor of Numerators i.e. GCF of 3733,3622 is 1 .
LCM of Denominators means LCM of 944,750 as per the given fractions.
LCM of 944,750 is 354000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3733,3622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3733
List of positive integer factors of 3733 that divides 3733 without a remainder.
1,3733
Factors of 3622
List of positive integer factors of 3622 that divides 3622 without a remainder.
1,2,1811,3622
Greatest Common Factor
We found the factors 3733,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 3733,3622 is 1.
Lets's calculate LCM of 944,750
2 | 944, 750 |
472, 375 |
∴ So the LCM of the given numbers is 2 x 472 x 375 = 354000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354000
Therefore, the GCF of Fractions 3733/944,3622/750 is 1/354000
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 944,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(944,750) x common factors =2 x 1 = 2
LCM(944,750) = ( 944 × 750 ) / 2
LCM(944,750) = 708000 / 2
LCM(944,750) = 354000
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 3733/944, 3622/750?
Answer: GCF of Numerators as per given numbers 3733/944, 3622/750 is
GCF of Numerators i.e. for 3733,3622 is 1
LCM of denominators i.e. for 944,750 is 354000.
Thus, GCF of Fractions is 1/354000.Finally, GCF of Fractions for 3733/944, 3622/750 is 1/354000.