Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2504/34,8021/285
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 2504,8021
Greatest Common Factor of Numerators i.e. GCF of 2504,8021 is 1 .
LCM of Denominators means LCM of 34,285 as per the given fractions.
LCM of 34,285 is 9690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2504,8021
∴ 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 8021
List of positive integer factors of 8021 that divides 8021 without a remainder.
1,13,617,8021
Greatest Common Factor
We found the factors 2504,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 2504,8021 is 1.
Lets's calculate LCM of 34,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 9690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9690
Therefore, the GCF of Fractions 2504/34,8021/285 is 1/9690
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 34,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,285) x common factors =1 x 1 = 1
LCM(34,285) = ( 34 × 285 ) / 1
LCM(34,285) = 9690 / 1
LCM(34,285) = 9690
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 2504/34, 8021/285?
Answer: GCF of Numerators as per given numbers 2504/34, 8021/285 is
GCF of Numerators i.e. for 2504,8021 is 1
LCM of denominators i.e. for 34,285 is 9690.
Thus, GCF of Fractions is 1/9690.Finally, GCF of Fractions for 2504/34, 8021/285 is 1/9690.