Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/68,46/79,128/376
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 50,46,128
Greatest Common Factor of Numerators i.e. GCF of 50,46,128 is 2 .
LCM of Denominators means LCM of 68,79,376 as per the given fractions.
LCM of 68,79,376 is 504968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,46,128
2 | 50, 46, 128 |
25, 23, 64 |
∴ 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 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 50,46,128 . The biggest common factor number is the GCF number.
So the greatest common factor 50,46,128 is 2.
Lets's calculate LCM of 68,79,376
2 | 68, 79, 376 |
2 | 34, 79, 188 |
17, 79, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 79 x 94 = 504968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504968
Therefore, the GCF of Fractions 50/68,46/79,128/376 is 2/504968
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 68,79,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,79,376) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,79,376) x common factors =1 x 4 = 4
LCM(68,79,376) = ( 68 × 79 × 376 ) / 4
LCM(68,79,376) = 2019872 / 4
LCM(68,79,376) = 504968
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, 46/79, 128/376?
Answer: GCF of Numerators as per given numbers 50/68, 46/79, 128/376 is
GCF of Numerators i.e. for 50,46,128 is 2
LCM of denominators i.e. for 68,79,376 is 504968.
Thus, GCF of Fractions is 2/504968.Finally, GCF of Fractions for 50/68, 46/79, 128/376 is 2/504968.