Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/51,29/95,380/34
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 68,29,380
Greatest Common Factor of Numerators i.e. GCF of 68,29,380 is 1 .
LCM of Denominators means LCM of 51,95,34 as per the given fractions.
LCM of 51,95,34 is 9690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,29,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 68,29,380 . The biggest common factor number is the GCF number.
So the greatest common factor 68,29,380 is 1.
Lets's calculate LCM of 51,95,34
17 | 51, 95, 34 |
3, 95, 2 |
∴ So the LCM of the given numbers is 17 x 3 x 95 x 2 = 9690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9690
Therefore, the GCF of Fractions 68/51,29/95,380/34 is 1/9690
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 51,95,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,95,34) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(51,95,34) x common factors =1 x 17 = 17
LCM(51,95,34) = ( 51 × 95 × 34 ) / 17
LCM(51,95,34) = 164730 / 17
LCM(51,95,34) = 9690
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 68/51, 29/95, 380/34?
Answer: GCF of Numerators as per given numbers 68/51, 29/95, 380/34 is
GCF of Numerators i.e. for 68,29,380 is 1
LCM of denominators i.e. for 51,95,34 is 9690.
Thus, GCF of Fractions is 1/9690.Finally, GCF of Fractions for 68/51, 29/95, 380/34 is 1/9690.