Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/19,41/72,685/799
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 87,41,685
Greatest Common Factor of Numerators i.e. GCF of 87,41,685 is 1 .
LCM of Denominators means LCM of 19,72,799 as per the given fractions.
LCM of 19,72,799 is 1093032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,41,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 87,41,685 . The biggest common factor number is the GCF number.
So the greatest common factor 87,41,685 is 1.
Lets's calculate LCM of 19,72,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 1093032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1093032
Therefore, the GCF of Fractions 87/19,41/72,685/799 is 1/1093032
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 19,72,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,72,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,72,799) x common factors =1 x 1 = 1
LCM(19,72,799) = ( 19 × 72 × 799 ) / 1
LCM(19,72,799) = 1093032 / 1
LCM(19,72,799) = 1093032
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 87/19, 41/72, 685/799?
Answer: GCF of Numerators as per given numbers 87/19, 41/72, 685/799 is
GCF of Numerators i.e. for 87,41,685 is 1
LCM of denominators i.e. for 19,72,799 is 1093032.
Thus, GCF of Fractions is 1/1093032.Finally, GCF of Fractions for 87/19, 41/72, 685/799 is 1/1093032.