Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/246,940/340
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 894,940
Greatest Common Factor of Numerators i.e. GCF of 894,940 is 2 .
LCM of Denominators means LCM of 246,340 as per the given fractions.
LCM of 246,340 is 41820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,940
2 | 894, 940 |
447, 470 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 894,940 . The biggest common factor number is the GCF number.
So the greatest common factor 894,940 is 2.
Lets's calculate LCM of 246,340
2 | 246, 340 |
123, 170 |
∴ So the LCM of the given numbers is 2 x 123 x 170 = 41820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41820
Therefore, the GCF of Fractions 894/246,940/340 is 2/41820
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 246,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,340) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,340) x common factors =2 x 1 = 2
LCM(246,340) = ( 246 × 340 ) / 2
LCM(246,340) = 83640 / 2
LCM(246,340) = 41820
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 894/246, 940/340?
Answer: GCF of Numerators as per given numbers 894/246, 940/340 is
GCF of Numerators i.e. for 894,940 is 2
LCM of denominators i.e. for 246,340 is 41820.
Thus, GCF of Fractions is 2/41820.Finally, GCF of Fractions for 894/246, 940/340 is 2/41820.