Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6188/688,8677/2409
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 6188,8677
Greatest Common Factor of Numerators i.e. GCF of 6188,8677 is 1 .
LCM of Denominators means LCM of 688,2409 as per the given fractions.
LCM of 688,2409 is 1657392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6188,8677
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6188
List of positive integer factors of 6188 that divides 6188 without a remainder.
1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Factors of 8677
List of positive integer factors of 8677 that divides 8677 without a remainder.
1,8677
Greatest Common Factor
We found the factors 6188,8677 . The biggest common factor number is the GCF number.
So the greatest common factor 6188,8677 is 1.
Lets's calculate LCM of 688,2409
Given numbers has no common factors except 1. So, there LCM is their product i.e 1657392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1657392
Therefore, the GCF of Fractions 6188/688,8677/2409 is 1/1657392
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 688,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,2409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,2409) x common factors =1 x 1 = 1
LCM(688,2409) = ( 688 × 2409 ) / 1
LCM(688,2409) = 1657392 / 1
LCM(688,2409) = 1657392
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 6188/688, 8677/2409?
Answer: GCF of Numerators as per given numbers 6188/688, 8677/2409 is
GCF of Numerators i.e. for 6188,8677 is 1
LCM of denominators i.e. for 688,2409 is 1657392.
Thus, GCF of Fractions is 1/1657392.Finally, GCF of Fractions for 6188/688, 8677/2409 is 1/1657392.