Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/25,683/6702
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 665,683
Greatest Common Factor of Numerators i.e. GCF of 665,683 is 1 .
LCM of Denominators means LCM of 25,6702 as per the given fractions.
LCM of 25,6702 is 167550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 665,683 . The biggest common factor number is the GCF number.
So the greatest common factor 665,683 is 1.
Lets's calculate LCM of 25,6702
Given numbers has no common factors except 1. So, there LCM is their product i.e 167550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167550
Therefore, the GCF of Fractions 665/25,683/6702 is 1/167550
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 25,6702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,6702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,6702) x common factors =1 x 1 = 1
LCM(25,6702) = ( 25 × 6702 ) / 1
LCM(25,6702) = 167550 / 1
LCM(25,6702) = 167550
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 665/25, 683/6702?
Answer: GCF of Numerators as per given numbers 665/25, 683/6702 is
GCF of Numerators i.e. for 665,683 is 1
LCM of denominators i.e. for 25,6702 is 167550.
Thus, GCF of Fractions is 1/167550.Finally, GCF of Fractions for 665/25, 683/6702 is 1/167550.