Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/3641,947/6497
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 517,947
Greatest Common Factor of Numerators i.e. GCF of 517,947 is 1 .
LCM of Denominators means LCM of 3641,6497 as per the given fractions.
LCM of 3641,6497 is 23655577 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 517,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 517,947 . The biggest common factor number is the GCF number.
So the greatest common factor 517,947 is 1.
Lets's calculate LCM of 3641,6497
Given numbers has no common factors except 1. So, there LCM is their product i.e 23655577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23655577
Therefore, the GCF of Fractions 517/3641,947/6497 is 1/23655577
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 3641,6497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3641,6497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3641,6497) x common factors =1 x 1 = 1
LCM(3641,6497) = ( 3641 × 6497 ) / 1
LCM(3641,6497) = 23655577 / 1
LCM(3641,6497) = 23655577
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 517/3641, 947/6497?
Answer: GCF of Numerators as per given numbers 517/3641, 947/6497 is
GCF of Numerators i.e. for 517,947 is 1
LCM of denominators i.e. for 3641,6497 is 23655577.
Thus, GCF of Fractions is 1/23655577.Finally, GCF of Fractions for 517/3641, 947/6497 is 1/23655577.