Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/34,736/28,920/599
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 347,736,920
Greatest Common Factor of Numerators i.e. GCF of 347,736,920 is 1 .
LCM of Denominators means LCM of 34,28,599 as per the given fractions.
LCM of 34,28,599 is 285124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 347,736,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 347,736,920 . The biggest common factor number is the GCF number.
So the greatest common factor 347,736,920 is 1.
Lets's calculate LCM of 34,28,599
2 | 34, 28, 599 |
17, 14, 599 |
∴ So the LCM of the given numbers is 2 x 17 x 14 x 599 = 285124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285124
Therefore, the GCF of Fractions 347/34,736/28,920/599 is 1/285124
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 34,28,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,28,599) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,28,599) x common factors =1 x 2 = 2
LCM(34,28,599) = ( 34 × 28 × 599 ) / 2
LCM(34,28,599) = 570248 / 2
LCM(34,28,599) = 285124
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 347/34, 736/28, 920/599?
Answer: GCF of Numerators as per given numbers 347/34, 736/28, 920/599 is
GCF of Numerators i.e. for 347,736,920 is 1
LCM of denominators i.e. for 34,28,599 is 285124.
Thus, GCF of Fractions is 1/285124.Finally, GCF of Fractions for 347/34, 736/28, 920/599 is 1/285124.