Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6223/256,6053/8299
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 6223,6053
Greatest Common Factor of Numerators i.e. GCF of 6223,6053 is 1 .
LCM of Denominators means LCM of 256,8299 as per the given fractions.
LCM of 256,8299 is 2124544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6223,6053
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6223
List of positive integer factors of 6223 that divides 6223 without a remainder.
1,7,49,127,889,6223
Factors of 6053
List of positive integer factors of 6053 that divides 6053 without a remainder.
1,6053
Greatest Common Factor
We found the factors 6223,6053 . The biggest common factor number is the GCF number.
So the greatest common factor 6223,6053 is 1.
Lets's calculate LCM of 256,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 2124544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2124544
Therefore, the GCF of Fractions 6223/256,6053/8299 is 1/2124544
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 256,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,8299) x common factors =1 x 1 = 1
LCM(256,8299) = ( 256 × 8299 ) / 1
LCM(256,8299) = 2124544 / 1
LCM(256,8299) = 2124544
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 6223/256, 6053/8299?
Answer: GCF of Numerators as per given numbers 6223/256, 6053/8299 is
GCF of Numerators i.e. for 6223,6053 is 1
LCM of denominators i.e. for 256,8299 is 2124544.
Thus, GCF of Fractions is 1/2124544.Finally, GCF of Fractions for 6223/256, 6053/8299 is 1/2124544.