Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/59,95/34,48/80,57/354
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 80,95,48,57
Greatest Common Factor of Numerators i.e. GCF of 80,95,48,57 is 1 .
LCM of Denominators means LCM of 59,34,80,354 as per the given fractions.
LCM of 59,34,80,354 is 240720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,95,48,57
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 80,95,48,57 . The biggest common factor number is the GCF number.
So the greatest common factor 80,95,48,57 is 1.
Lets's calculate LCM of 59,34,80,354
2 | 59, 34, 80, 354 |
59 | 59, 17, 40, 177 |
1, 17, 40, 3 |
∴ So the LCM of the given numbers is 2 x 59 x 1 x 17 x 40 x 3 = 240720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240720
Therefore, the GCF of Fractions 80/59,95/34,48/80,57/354 is 1/240720
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 59,34,80,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,34,80,354) = 1
common factors(in case of two or more numbers have common factors) = 236
GCF(59,34,80,354) x common factors =1 x 236 = 236
LCM(59,34,80,354) = ( 59 × 34 × 80 × 354 ) / 236
LCM(59,34,80,354) = 56809920 / 236
LCM(59,34,80,354) = 240720
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 80/59, 95/34, 48/80, 57/354?
Answer: GCF of Numerators as per given numbers 80/59, 95/34, 48/80, 57/354 is
GCF of Numerators i.e. for 80,95,48,57 is 1
LCM of denominators i.e. for 59,34,80,354 is 240720.
Thus, GCF of Fractions is 1/240720.Finally, GCF of Fractions for 80/59, 95/34, 48/80, 57/354 is 1/240720.