Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/68,874/16,116/170
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 50,874,116
Greatest Common Factor of Numerators i.e. GCF of 50,874,116 is 2 .
LCM of Denominators means LCM of 68,16,170 as per the given fractions.
LCM of 68,16,170 is 1360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,874,116
2 | 50, 874, 116 |
25, 437, 58 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 50,874,116 . The biggest common factor number is the GCF number.
So the greatest common factor 50,874,116 is 2.
Lets's calculate LCM of 68,16,170
2 | 68, 16, 170 |
2 | 34, 8, 85 |
17 | 17, 4, 85 |
1, 4, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 4 x 5 = 1360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1360
Therefore, the GCF of Fractions 50/68,874/16,116/170 is 2/1360
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 68,16,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,16,170) = 2
common factors(in case of two or more numbers have common factors) = 68
GCF(68,16,170) x common factors =2 x 68 = 136
LCM(68,16,170) = ( 68 × 16 × 170 ) / 136
LCM(68,16,170) = 184960 / 136
LCM(68,16,170) = 1360
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 50/68, 874/16, 116/170?
Answer: GCF of Numerators as per given numbers 50/68, 874/16, 116/170 is
GCF of Numerators i.e. for 50,874,116 is 2
LCM of denominators i.e. for 68,16,170 is 1360.
Thus, GCF of Fractions is 2/1360.Finally, GCF of Fractions for 50/68, 874/16, 116/170 is 2/1360.