Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5954/843,7894/450
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 5954,7894
Greatest Common Factor of Numerators i.e. GCF of 5954,7894 is 2 .
LCM of Denominators means LCM of 843,450 as per the given fractions.
LCM of 843,450 is 126450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5954,7894
2 | 5954, 7894 |
2977, 3947 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5954
List of positive integer factors of 5954 that divides 5954 without a remainder.
1,2,13,26,229,458,2977,5954
Factors of 7894
List of positive integer factors of 7894 that divides 7894 without a remainder.
1,2,3947,7894
Greatest Common Factor
We found the factors 5954,7894 . The biggest common factor number is the GCF number.
So the greatest common factor 5954,7894 is 2.
Lets's calculate LCM of 843,450
3 | 843, 450 |
281, 150 |
∴ So the LCM of the given numbers is 3 x 281 x 150 = 126450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126450
Therefore, the GCF of Fractions 5954/843,7894/450 is 2/126450
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 843,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,450) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,450) x common factors =3 x 1 = 3
LCM(843,450) = ( 843 × 450 ) / 3
LCM(843,450) = 379350 / 3
LCM(843,450) = 126450
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 5954/843, 7894/450?
Answer: GCF of Numerators as per given numbers 5954/843, 7894/450 is
GCF of Numerators i.e. for 5954,7894 is 2
LCM of denominators i.e. for 843,450 is 126450.
Thus, GCF of Fractions is 2/126450.Finally, GCF of Fractions for 5954/843, 7894/450 is 2/126450.