Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/94,325/7273
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 611,325
Greatest Common Factor of Numerators i.e. GCF of 611,325 is 13 .
LCM of Denominators means LCM of 94,7273 as per the given fractions.
LCM of 94,7273 is 683662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,325
13 | 611, 325 |
47, 25 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 611,325 . The biggest common factor number is the GCF number.
So the greatest common factor 611,325 is 13.
Lets's calculate LCM of 94,7273
Given numbers has no common factors except 1. So, there LCM is their product i.e 683662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/683662
Therefore, the GCF of Fractions 611/94,325/7273 is 13/683662
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 94,7273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,7273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,7273) x common factors =1 x 1 = 1
LCM(94,7273) = ( 94 × 7273 ) / 1
LCM(94,7273) = 683662 / 1
LCM(94,7273) = 683662
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 611/94, 325/7273?
Answer: GCF of Numerators as per given numbers 611/94, 325/7273 is
GCF of Numerators i.e. for 611,325 is 13
LCM of denominators i.e. for 94,7273 is 683662.
Thus, GCF of Fractions is 13/683662.Finally, GCF of Fractions for 611/94, 325/7273 is 13/683662.