Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7565/647,6651/2318
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 7565,6651
Greatest Common Factor of Numerators i.e. GCF of 7565,6651 is 1 .
LCM of Denominators means LCM of 647,2318 as per the given fractions.
LCM of 647,2318 is 1499746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7565,6651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7565
List of positive integer factors of 7565 that divides 7565 without a remainder.
1,5,17,85,89,445,1513,7565
Factors of 6651
List of positive integer factors of 6651 that divides 6651 without a remainder.
1,3,9,739,2217,6651
Greatest Common Factor
We found the factors 7565,6651 . The biggest common factor number is the GCF number.
So the greatest common factor 7565,6651 is 1.
Lets's calculate LCM of 647,2318
Given numbers has no common factors except 1. So, there LCM is their product i.e 1499746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499746
Therefore, the GCF of Fractions 7565/647,6651/2318 is 1/1499746
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 647,2318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,2318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,2318) x common factors =1 x 1 = 1
LCM(647,2318) = ( 647 × 2318 ) / 1
LCM(647,2318) = 1499746 / 1
LCM(647,2318) = 1499746
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 7565/647, 6651/2318?
Answer: GCF of Numerators as per given numbers 7565/647, 6651/2318 is
GCF of Numerators i.e. for 7565,6651 is 1
LCM of denominators i.e. for 647,2318 is 1499746.
Thus, GCF of Fractions is 1/1499746.Finally, GCF of Fractions for 7565/647, 6651/2318 is 1/1499746.