Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/62,950/89,375/39
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 61,950,375
Greatest Common Factor of Numerators i.e. GCF of 61,950,375 is 1 .
LCM of Denominators means LCM of 62,89,39 as per the given fractions.
LCM of 62,89,39 is 215202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,950,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 61,950,375 . The biggest common factor number is the GCF number.
So the greatest common factor 61,950,375 is 1.
Lets's calculate LCM of 62,89,39
Given numbers has no common factors except 1. So, there LCM is their product i.e 215202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215202
Therefore, the GCF of Fractions 61/62,950/89,375/39 is 1/215202
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 62,89,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,89,39) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,89,39) x common factors =1 x 1 = 1
LCM(62,89,39) = ( 62 × 89 × 39 ) / 1
LCM(62,89,39) = 215202 / 1
LCM(62,89,39) = 215202
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 61/62, 950/89, 375/39?
Answer: GCF of Numerators as per given numbers 61/62, 950/89, 375/39 is
GCF of Numerators i.e. for 61,950,375 is 1
LCM of denominators i.e. for 62,89,39 is 215202.
Thus, GCF of Fractions is 1/215202.Finally, GCF of Fractions for 61/62, 950/89, 375/39 is 1/215202.