Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/39,95/62,68/83,74/16
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 38,95,68,74
Greatest Common Factor of Numerators i.e. GCF of 38,95,68,74 is 1 .
LCM of Denominators means LCM of 39,62,83,16 as per the given fractions.
LCM of 39,62,83,16 is 1605552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,95,68,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 38,95,68,74 . The biggest common factor number is the GCF number.
So the greatest common factor 38,95,68,74 is 1.
Lets's calculate LCM of 39,62,83,16
2 | 39, 62, 83, 16 |
39, 31, 83, 8 |
∴ So the LCM of the given numbers is 2 x 39 x 31 x 83 x 8 = 1605552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1605552
Therefore, the GCF of Fractions 38/39,95/62,68/83,74/16 is 1/1605552
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 39,62,83,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,62,83,16) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,62,83,16) x common factors =1 x 2 = 2
LCM(39,62,83,16) = ( 39 × 62 × 83 × 16 ) / 2
LCM(39,62,83,16) = 3211104 / 2
LCM(39,62,83,16) = 1605552
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 38/39, 95/62, 68/83, 74/16?
Answer: GCF of Numerators as per given numbers 38/39, 95/62, 68/83, 74/16 is
GCF of Numerators i.e. for 38,95,68,74 is 1
LCM of denominators i.e. for 39,62,83,16 is 1605552.
Thus, GCF of Fractions is 1/1605552.Finally, GCF of Fractions for 38/39, 95/62, 68/83, 74/16 is 1/1605552.