Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2504/658,3165/6065
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 2504,3165
Greatest Common Factor of Numerators i.e. GCF of 2504,3165 is 1 .
LCM of Denominators means LCM of 658,6065 as per the given fractions.
LCM of 658,6065 is 3990770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2504,3165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2504
List of positive integer factors of 2504 that divides 2504 without a remainder.
1,2,4,8,313,626,1252,2504
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1,3,5,15,211,633,1055,3165
Greatest Common Factor
We found the factors 2504,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 2504,3165 is 1.
Lets's calculate LCM of 658,6065
Given numbers has no common factors except 1. So, there LCM is their product i.e 3990770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3990770
Therefore, the GCF of Fractions 2504/658,3165/6065 is 1/3990770
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 658,6065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,6065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,6065) x common factors =1 x 1 = 1
LCM(658,6065) = ( 658 × 6065 ) / 1
LCM(658,6065) = 3990770 / 1
LCM(658,6065) = 3990770
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 2504/658, 3165/6065?
Answer: GCF of Numerators as per given numbers 2504/658, 3165/6065 is
GCF of Numerators i.e. for 2504,3165 is 1
LCM of denominators i.e. for 658,6065 is 3990770.
Thus, GCF of Fractions is 1/3990770.Finally, GCF of Fractions for 2504/658, 3165/6065 is 1/3990770.