Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6287/717,2672/5207
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 6287,2672
Greatest Common Factor of Numerators i.e. GCF of 6287,2672 is 1 .
LCM of Denominators means LCM of 717,5207 as per the given fractions.
LCM of 717,5207 is 3733419 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6287,2672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6287
List of positive integer factors of 6287 that divides 6287 without a remainder.
1,6287
Factors of 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors 6287,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 6287,2672 is 1.
Lets's calculate LCM of 717,5207
Given numbers has no common factors except 1. So, there LCM is their product i.e 3733419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3733419
Therefore, the GCF of Fractions 6287/717,2672/5207 is 1/3733419
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 717,5207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,5207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,5207) x common factors =1 x 1 = 1
LCM(717,5207) = ( 717 × 5207 ) / 1
LCM(717,5207) = 3733419 / 1
LCM(717,5207) = 3733419
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 6287/717, 2672/5207?
Answer: GCF of Numerators as per given numbers 6287/717, 2672/5207 is
GCF of Numerators i.e. for 6287,2672 is 1
LCM of denominators i.e. for 717,5207 is 3733419.
Thus, GCF of Fractions is 1/3733419.Finally, GCF of Fractions for 6287/717, 2672/5207 is 1/3733419.