Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/890,1388/734
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 944,1388
Greatest Common Factor of Numerators i.e. GCF of 944,1388 is 4 .
LCM of Denominators means LCM of 890,734 as per the given fractions.
LCM of 890,734 is 326630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,1388
2 | 944, 1388 |
2 | 472, 694 |
236, 347 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 1388
List of positive integer factors of 1388 that divides 1388 without a remainder.
1,2,4,347,694,1388
Greatest Common Factor
We found the factors 944,1388 . The biggest common factor number is the GCF number.
So the greatest common factor 944,1388 is 4.
Lets's calculate LCM of 890,734
2 | 890, 734 |
445, 367 |
∴ So the LCM of the given numbers is 2 x 445 x 367 = 326630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/326630
Therefore, the GCF of Fractions 944/890,1388/734 is 4/326630
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 890,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,734) x common factors =2 x 1 = 2
LCM(890,734) = ( 890 × 734 ) / 2
LCM(890,734) = 653260 / 2
LCM(890,734) = 326630
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 944/890, 1388/734?
Answer: GCF of Numerators as per given numbers 944/890, 1388/734 is
GCF of Numerators i.e. for 944,1388 is 4
LCM of denominators i.e. for 890,734 is 326630.
Thus, GCF of Fractions is 4/326630.Finally, GCF of Fractions for 944/890, 1388/734 is 4/326630.