Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/541,374/665
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 34,374
Greatest Common Factor of Numerators i.e. GCF of 34,374 is 34 .
LCM of Denominators means LCM of 541,665 as per the given fractions.
LCM of 541,665 is 359765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,374
2 | 34, 374 |
17 | 17, 187 |
1, 11 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 34,374 . The biggest common factor number is the GCF number.
So the greatest common factor 34,374 is 34.
Lets's calculate LCM of 541,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 359765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/359765
Therefore, the GCF of Fractions 34/541,374/665 is 34/359765
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 541,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,665) x common factors =1 x 1 = 1
LCM(541,665) = ( 541 × 665 ) / 1
LCM(541,665) = 359765 / 1
LCM(541,665) = 359765
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 34/541, 374/665?
Answer: GCF of Numerators as per given numbers 34/541, 374/665 is
GCF of Numerators i.e. for 34,374 is 34
LCM of denominators i.e. for 541,665 is 359765.
Thus, GCF of Fractions is 34/359765.Finally, GCF of Fractions for 34/541, 374/665 is 34/359765.