Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8629/529,4985/317
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 8629,4985
Greatest Common Factor of Numerators i.e. GCF of 8629,4985 is 1 .
LCM of Denominators means LCM of 529,317 as per the given fractions.
LCM of 529,317 is 167693 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8629,4985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8629
List of positive integer factors of 8629 that divides 8629 without a remainder.
1,8629
Factors of 4985
List of positive integer factors of 4985 that divides 4985 without a remainder.
1,5,997,4985
Greatest Common Factor
We found the factors 8629,4985 . The biggest common factor number is the GCF number.
So the greatest common factor 8629,4985 is 1.
Lets's calculate LCM of 529,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 167693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167693
Therefore, the GCF of Fractions 8629/529,4985/317 is 1/167693
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 529,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,317) x common factors =1 x 1 = 1
LCM(529,317) = ( 529 × 317 ) / 1
LCM(529,317) = 167693 / 1
LCM(529,317) = 167693
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 8629/529, 4985/317?
Answer: GCF of Numerators as per given numbers 8629/529, 4985/317 is
GCF of Numerators i.e. for 8629,4985 is 1
LCM of denominators i.e. for 529,317 is 167693.
Thus, GCF of Fractions is 1/167693.Finally, GCF of Fractions for 8629/529, 4985/317 is 1/167693.