Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/57,63/28,45/20,13/741
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 47,63,45,13
Greatest Common Factor of Numerators i.e. GCF of 47,63,45,13 is 1 .
LCM of Denominators means LCM of 57,28,20,741 as per the given fractions.
LCM of 57,28,20,741 is 103740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,63,45,13
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Greatest Common Factor
We found the factors 47,63,45,13 . The biggest common factor number is the GCF number.
So the greatest common factor 47,63,45,13 is 1.
Lets's calculate LCM of 57,28,20,741
2 | 57, 28, 20, 741 |
2 | 57, 14, 10, 741 |
3 | 57, 7, 5, 741 |
19 | 19, 7, 5, 247 |
1, 7, 5, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 7 x 5 x 13 = 103740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103740
Therefore, the GCF of Fractions 47/57,63/28,45/20,13/741 is 1/103740
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 57,28,20,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,28,20,741) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(57,28,20,741) x common factors =1 x 228 = 228
LCM(57,28,20,741) = ( 57 × 28 × 20 × 741 ) / 228
LCM(57,28,20,741) = 23652720 / 228
LCM(57,28,20,741) = 103740
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 47/57, 63/28, 45/20, 13/741?
Answer: GCF of Numerators as per given numbers 47/57, 63/28, 45/20, 13/741 is
GCF of Numerators i.e. for 47,63,45,13 is 1
LCM of denominators i.e. for 57,28,20,741 is 103740.
Thus, GCF of Fractions is 1/103740.Finally, GCF of Fractions for 47/57, 63/28, 45/20, 13/741 is 1/103740.