Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/722,943/985
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 82,943
Greatest Common Factor of Numerators i.e. GCF of 82,943 is 41 .
LCM of Denominators means LCM of 722,985 as per the given fractions.
LCM of 722,985 is 711170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,943
41 | 82, 943 |
2, 23 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 82,943 . The biggest common factor number is the GCF number.
So the greatest common factor 82,943 is 41.
Lets's calculate LCM of 722,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 711170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/711170
Therefore, the GCF of Fractions 82/722,943/985 is 41/711170
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 722,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,985) x common factors =1 x 1 = 1
LCM(722,985) = ( 722 × 985 ) / 1
LCM(722,985) = 711170 / 1
LCM(722,985) = 711170
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 82/722, 943/985?
Answer: GCF of Numerators as per given numbers 82/722, 943/985 is
GCF of Numerators i.e. for 82,943 is 41
LCM of denominators i.e. for 722,985 is 711170.
Thus, GCF of Fractions is 41/711170.Finally, GCF of Fractions for 82/722, 943/985 is 41/711170.