Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/42,904/682
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 655,904
Greatest Common Factor of Numerators i.e. GCF of 655,904 is 1 .
LCM of Denominators means LCM of 42,682 as per the given fractions.
LCM of 42,682 is 14322 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 655,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 655,904 . The biggest common factor number is the GCF number.
So the greatest common factor 655,904 is 1.
Lets's calculate LCM of 42,682
2 | 42, 682 |
21, 341 |
∴ So the LCM of the given numbers is 2 x 21 x 341 = 14322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14322
Therefore, the GCF of Fractions 655/42,904/682 is 1/14322
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 42,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,682) x common factors =2 x 1 = 2
LCM(42,682) = ( 42 × 682 ) / 2
LCM(42,682) = 28644 / 2
LCM(42,682) = 14322
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 655/42, 904/682?
Answer: GCF of Numerators as per given numbers 655/42, 904/682 is
GCF of Numerators i.e. for 655,904 is 1
LCM of denominators i.e. for 42,682 is 14322.
Thus, GCF of Fractions is 1/14322.Finally, GCF of Fractions for 655/42, 904/682 is 1/14322.