Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/307,608/986
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 583,608
Greatest Common Factor of Numerators i.e. GCF of 583,608 is 1 .
LCM of Denominators means LCM of 307,986 as per the given fractions.
LCM of 307,986 is 302702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 583,608 . The biggest common factor number is the GCF number.
So the greatest common factor 583,608 is 1.
Lets's calculate LCM of 307,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 302702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302702
Therefore, the GCF of Fractions 583/307,608/986 is 1/302702
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 307,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,986) x common factors =1 x 1 = 1
LCM(307,986) = ( 307 × 986 ) / 1
LCM(307,986) = 302702 / 1
LCM(307,986) = 302702
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 583/307, 608/986?
Answer: GCF of Numerators as per given numbers 583/307, 608/986 is
GCF of Numerators i.e. for 583,608 is 1
LCM of denominators i.e. for 307,986 is 302702.
Thus, GCF of Fractions is 1/302702.Finally, GCF of Fractions for 583/307, 608/986 is 1/302702.