Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/83,31/14,41/59,31/621
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 38,31,41,31
Greatest Common Factor of Numerators i.e. GCF of 38,31,41,31 is 1 .
LCM of Denominators means LCM of 83,14,59,621 as per the given fractions.
LCM of 83,14,59,621 is 42574518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,31,41,31
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Greatest Common Factor
We found the factors 38,31,41,31 . The biggest common factor number is the GCF number.
So the greatest common factor 38,31,41,31 is 1.
Lets's calculate LCM of 83,14,59,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 42574518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42574518
Therefore, the GCF of Fractions 38/83,31/14,41/59,31/621 is 1/42574518
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 83,14,59,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,14,59,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,14,59,621) x common factors =1 x 1 = 1
LCM(83,14,59,621) = ( 83 × 14 × 59 × 621 ) / 1
LCM(83,14,59,621) = 42574518 / 1
LCM(83,14,59,621) = 42574518
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 38/83, 31/14, 41/59, 31/621?
Answer: GCF of Numerators as per given numbers 38/83, 31/14, 41/59, 31/621 is
GCF of Numerators i.e. for 38,31,41,31 is 1
LCM of denominators i.e. for 83,14,59,621 is 42574518.
Thus, GCF of Fractions is 1/42574518.Finally, GCF of Fractions for 38/83, 31/14, 41/59, 31/621 is 1/42574518.