Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/595,4826/695
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 464,4826
Greatest Common Factor of Numerators i.e. GCF of 464,4826 is 2 .
LCM of Denominators means LCM of 595,695 as per the given fractions.
LCM of 595,695 is 82705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,4826
2 | 464, 4826 |
232, 2413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 4826
List of positive integer factors of 4826 that divides 4826 without a remainder.
1,2,19,38,127,254,2413,4826
Greatest Common Factor
We found the factors 464,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 464,4826 is 2.
Lets's calculate LCM of 595,695
5 | 595, 695 |
119, 139 |
∴ So the LCM of the given numbers is 5 x 119 x 139 = 82705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82705
Therefore, the GCF of Fractions 464/595,4826/695 is 2/82705
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 595,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(595,695) x common factors =5 x 1 = 5
LCM(595,695) = ( 595 × 695 ) / 5
LCM(595,695) = 413525 / 5
LCM(595,695) = 82705
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 464/595, 4826/695?
Answer: GCF of Numerators as per given numbers 464/595, 4826/695 is
GCF of Numerators i.e. for 464,4826 is 2
LCM of denominators i.e. for 595,695 is 82705.
Thus, GCF of Fractions is 2/82705.Finally, GCF of Fractions for 464/595, 4826/695 is 2/82705.