Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/236,94/445,878/674
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 16,94,878
Greatest Common Factor of Numerators i.e. GCF of 16,94,878 is 2 .
LCM of Denominators means LCM of 236,445,674 as per the given fractions.
LCM of 236,445,674 is 35391740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,94,878
2 | 16, 94, 878 |
8, 47, 439 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 16,94,878 . The biggest common factor number is the GCF number.
So the greatest common factor 16,94,878 is 2.
Lets's calculate LCM of 236,445,674
2 | 236, 445, 674 |
118, 445, 337 |
∴ So the LCM of the given numbers is 2 x 118 x 445 x 337 = 35391740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35391740
Therefore, the GCF of Fractions 16/236,94/445,878/674 is 2/35391740
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 236,445,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,445,674) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(236,445,674) x common factors =1 x 2 = 2
LCM(236,445,674) = ( 236 × 445 × 674 ) / 2
LCM(236,445,674) = 70783480 / 2
LCM(236,445,674) = 35391740
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 16/236, 94/445, 878/674?
Answer: GCF of Numerators as per given numbers 16/236, 94/445, 878/674 is
GCF of Numerators i.e. for 16,94,878 is 2
LCM of denominators i.e. for 236,445,674 is 35391740.
Thus, GCF of Fractions is 2/35391740.Finally, GCF of Fractions for 16/236, 94/445, 878/674 is 2/35391740.