Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/98,25/25,32/14,83/474
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 19,25,32,83
Greatest Common Factor of Numerators i.e. GCF of 19,25,32,83 is 1 .
LCM of Denominators means LCM of 98,25,14,474 as per the given fractions.
LCM of 98,25,14,474 is 580650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,25,32,83
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Greatest Common Factor
We found the factors 19,25,32,83 . The biggest common factor number is the GCF number.
So the greatest common factor 19,25,32,83 is 1.
Lets's calculate LCM of 98,25,14,474
2 | 98, 25, 14, 474 |
7 | 49, 25, 7, 237 |
1, 25, 7, 237 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 25 x 7 x 237 = 580650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580650
Therefore, the GCF of Fractions 19/98,25/25,32/14,83/474 is 1/580650
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 98,25,14,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,25,14,474) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(98,25,14,474) x common factors =1 x 28 = 28
LCM(98,25,14,474) = ( 98 × 25 × 14 × 474 ) / 28
LCM(98,25,14,474) = 16258200 / 28
LCM(98,25,14,474) = 580650
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 19/98, 25/25, 32/14, 83/474?
Answer: GCF of Numerators as per given numbers 19/98, 25/25, 32/14, 83/474 is
GCF of Numerators i.e. for 19,25,32,83 is 1
LCM of denominators i.e. for 98,25,14,474 is 580650.
Thus, GCF of Fractions is 1/580650.Finally, GCF of Fractions for 19/98, 25/25, 32/14, 83/474 is 1/580650.