Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/8331,158/4243
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 644,158
Greatest Common Factor of Numerators i.e. GCF of 644,158 is 2 .
LCM of Denominators means LCM of 8331,4243 as per the given fractions.
LCM of 8331,4243 is 35348433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 644,158
2 | 644, 158 |
322, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 644,158 . The biggest common factor number is the GCF number.
So the greatest common factor 644,158 is 2.
Lets's calculate LCM of 8331,4243
Given numbers has no common factors except 1. So, there LCM is their product i.e 35348433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35348433
Therefore, the GCF of Fractions 644/8331,158/4243 is 2/35348433
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 8331,4243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8331,4243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8331,4243) x common factors =1 x 1 = 1
LCM(8331,4243) = ( 8331 × 4243 ) / 1
LCM(8331,4243) = 35348433 / 1
LCM(8331,4243) = 35348433
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 644/8331, 158/4243?
Answer: GCF of Numerators as per given numbers 644/8331, 158/4243 is
GCF of Numerators i.e. for 644,158 is 2
LCM of denominators i.e. for 8331,4243 is 35348433.
Thus, GCF of Fractions is 2/35348433.Finally, GCF of Fractions for 644/8331, 158/4243 is 2/35348433.