Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1795/883,2531/590
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 1795,2531
Greatest Common Factor of Numerators i.e. GCF of 1795,2531 is 1 .
LCM of Denominators means LCM of 883,590 as per the given fractions.
LCM of 883,590 is 520970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1795,2531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1795
List of positive integer factors of 1795 that divides 1795 without a remainder.
1,5,359,1795
Factors of 2531
List of positive integer factors of 2531 that divides 2531 without a remainder.
1,2531
Greatest Common Factor
We found the factors 1795,2531 . The biggest common factor number is the GCF number.
So the greatest common factor 1795,2531 is 1.
Lets's calculate LCM of 883,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 520970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520970
Therefore, the GCF of Fractions 1795/883,2531/590 is 1/520970
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 883,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,590) x common factors =1 x 1 = 1
LCM(883,590) = ( 883 × 590 ) / 1
LCM(883,590) = 520970 / 1
LCM(883,590) = 520970
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 1795/883, 2531/590?
Answer: GCF of Numerators as per given numbers 1795/883, 2531/590 is
GCF of Numerators i.e. for 1795,2531 is 1
LCM of denominators i.e. for 883,590 is 520970.
Thus, GCF of Fractions is 1/520970.Finally, GCF of Fractions for 1795/883, 2531/590 is 1/520970.