Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6404/474,7679/611
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 6404,7679
Greatest Common Factor of Numerators i.e. GCF of 6404,7679 is 1 .
LCM of Denominators means LCM of 474,611 as per the given fractions.
LCM of 474,611 is 289614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6404,7679
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6404
List of positive integer factors of 6404 that divides 6404 without a remainder.
1,2,4,1601,3202,6404
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1,7,1097,7679
Greatest Common Factor
We found the factors 6404,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 6404,7679 is 1.
Lets's calculate LCM of 474,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 289614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289614
Therefore, the GCF of Fractions 6404/474,7679/611 is 1/289614
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 474,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,611) x common factors =1 x 1 = 1
LCM(474,611) = ( 474 × 611 ) / 1
LCM(474,611) = 289614 / 1
LCM(474,611) = 289614
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 6404/474, 7679/611?
Answer: GCF of Numerators as per given numbers 6404/474, 7679/611 is
GCF of Numerators i.e. for 6404,7679 is 1
LCM of denominators i.e. for 474,611 is 289614.
Thus, GCF of Fractions is 1/289614.Finally, GCF of Fractions for 6404/474, 7679/611 is 1/289614.