Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/462,3619/5511
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 854,3619
Greatest Common Factor of Numerators i.e. GCF of 854,3619 is 7 .
LCM of Denominators means LCM of 462,5511 as per the given fractions.
LCM of 462,5511 is 77154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,3619
7 | 854, 3619 |
122, 517 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 3619
List of positive integer factors of 3619 that divides 3619 without a remainder.
1,7,11,47,77,329,517,3619
Greatest Common Factor
We found the factors 854,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 854,3619 is 7.
Lets's calculate LCM of 462,5511
3 | 462, 5511 |
11 | 154, 1837 |
14, 167 |
∴ So the LCM of the given numbers is 3 x 11 x 14 x 167 = 77154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/77154
Therefore, the GCF of Fractions 854/462,3619/5511 is 7/77154
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 462,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5511) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5511) x common factors =33 x 1 = 33
LCM(462,5511) = ( 462 × 5511 ) / 33
LCM(462,5511) = 2546082 / 33
LCM(462,5511) = 77154
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 854/462, 3619/5511?
Answer: GCF of Numerators as per given numbers 854/462, 3619/5511 is
GCF of Numerators i.e. for 854,3619 is 7
LCM of denominators i.e. for 462,5511 is 77154.
Thus, GCF of Fractions is 7/77154.Finally, GCF of Fractions for 854/462, 3619/5511 is 7/77154.