Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2653/896,3082/961
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 2653,3082
Greatest Common Factor of Numerators i.e. GCF of 2653,3082 is 1 .
LCM of Denominators means LCM of 896,961 as per the given fractions.
LCM of 896,961 is 861056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2653,3082
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2653
List of positive integer factors of 2653 that divides 2653 without a remainder.
1,7,379,2653
Factors of 3082
List of positive integer factors of 3082 that divides 3082 without a remainder.
1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 2653,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 2653,3082 is 1.
Lets's calculate LCM of 896,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 861056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/861056
Therefore, the GCF of Fractions 2653/896,3082/961 is 1/861056
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 896,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,961) x common factors =1 x 1 = 1
LCM(896,961) = ( 896 × 961 ) / 1
LCM(896,961) = 861056 / 1
LCM(896,961) = 861056
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 2653/896, 3082/961?
Answer: GCF of Numerators as per given numbers 2653/896, 3082/961 is
GCF of Numerators i.e. for 2653,3082 is 1
LCM of denominators i.e. for 896,961 is 861056.
Thus, GCF of Fractions is 1/861056.Finally, GCF of Fractions for 2653/896, 3082/961 is 1/861056.