Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/60,63/80,50/47,92/475
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 14,63,50,92
Greatest Common Factor of Numerators i.e. GCF of 14,63,50,92 is 1 .
LCM of Denominators means LCM of 60,80,47,475 as per the given fractions.
LCM of 60,80,47,475 is 1071600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,63,50,92
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 14,63,50,92 . The biggest common factor number is the GCF number.
So the greatest common factor 14,63,50,92 is 1.
Lets's calculate LCM of 60,80,47,475
2 | 60, 80, 47, 475 |
2 | 30, 40, 47, 475 |
5 | 15, 20, 47, 475 |
3, 4, 47, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 4 x 47 x 95 = 1071600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1071600
Therefore, the GCF of Fractions 14/60,63/80,50/47,92/475 is 1/1071600
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 60,80,47,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,80,47,475) = 1
common factors(in case of two or more numbers have common factors) = 100
GCF(60,80,47,475) x common factors =1 x 100 = 100
LCM(60,80,47,475) = ( 60 × 80 × 47 × 475 ) / 100
LCM(60,80,47,475) = 107160000 / 100
LCM(60,80,47,475) = 1071600
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 14/60, 63/80, 50/47, 92/475?
Answer: GCF of Numerators as per given numbers 14/60, 63/80, 50/47, 92/475 is
GCF of Numerators i.e. for 14,63,50,92 is 1
LCM of denominators i.e. for 60,80,47,475 is 1071600.
Thus, GCF of Fractions is 1/1071600.Finally, GCF of Fractions for 14/60, 63/80, 50/47, 92/475 is 1/1071600.