Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6401/543,6080/7576
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 6401,6080
Greatest Common Factor of Numerators i.e. GCF of 6401,6080 is 1 .
LCM of Denominators means LCM of 543,7576 as per the given fractions.
LCM of 543,7576 is 4113768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6401,6080
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6401
List of positive integer factors of 6401 that divides 6401 without a remainder.
1,37,173,6401
Factors of 6080
List of positive integer factors of 6080 that divides 6080 without a remainder.
1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Greatest Common Factor
We found the factors 6401,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 6401,6080 is 1.
Lets's calculate LCM of 543,7576
Given numbers has no common factors except 1. So, there LCM is their product i.e 4113768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4113768
Therefore, the GCF of Fractions 6401/543,6080/7576 is 1/4113768
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 543,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,7576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,7576) x common factors =1 x 1 = 1
LCM(543,7576) = ( 543 × 7576 ) / 1
LCM(543,7576) = 4113768 / 1
LCM(543,7576) = 4113768
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 6401/543, 6080/7576?
Answer: GCF of Numerators as per given numbers 6401/543, 6080/7576 is
GCF of Numerators i.e. for 6401,6080 is 1
LCM of denominators i.e. for 543,7576 is 4113768.
Thus, GCF of Fractions is 1/4113768.Finally, GCF of Fractions for 6401/543, 6080/7576 is 1/4113768.