Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/51,73/43,44/59,570/16
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 97,73,44,570
Greatest Common Factor of Numerators i.e. GCF of 97,73,44,570 is 1 .
LCM of Denominators means LCM of 51,43,59,16 as per the given fractions.
LCM of 51,43,59,16 is 2070192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,73,44,570
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 97,73,44,570 . The biggest common factor number is the GCF number.
So the greatest common factor 97,73,44,570 is 1.
Lets's calculate LCM of 51,43,59,16
Given numbers has no common factors except 1. So, there LCM is their product i.e 2070192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2070192
Therefore, the GCF of Fractions 97/51,73/43,44/59,570/16 is 1/2070192
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 51,43,59,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,43,59,16) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,43,59,16) x common factors =1 x 1 = 1
LCM(51,43,59,16) = ( 51 × 43 × 59 × 16 ) / 1
LCM(51,43,59,16) = 2070192 / 1
LCM(51,43,59,16) = 2070192
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 97/51, 73/43, 44/59, 570/16?
Answer: GCF of Numerators as per given numbers 97/51, 73/43, 44/59, 570/16 is
GCF of Numerators i.e. for 97,73,44,570 is 1
LCM of denominators i.e. for 51,43,59,16 is 2070192.
Thus, GCF of Fractions is 1/2070192.Finally, GCF of Fractions for 97/51, 73/43, 44/59, 570/16 is 1/2070192.