Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6073/577,5208/444
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 6073,5208
Greatest Common Factor of Numerators i.e. GCF of 6073,5208 is 1 .
LCM of Denominators means LCM of 577,444 as per the given fractions.
LCM of 577,444 is 256188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6073,5208
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6073
List of positive integer factors of 6073 that divides 6073 without a remainder.
1,6073
Factors of 5208
List of positive integer factors of 5208 that divides 5208 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Greatest Common Factor
We found the factors 6073,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 6073,5208 is 1.
Lets's calculate LCM of 577,444
Given numbers has no common factors except 1. So, there LCM is their product i.e 256188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256188
Therefore, the GCF of Fractions 6073/577,5208/444 is 1/256188
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 577,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,444) x common factors =1 x 1 = 1
LCM(577,444) = ( 577 × 444 ) / 1
LCM(577,444) = 256188 / 1
LCM(577,444) = 256188
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 6073/577, 5208/444?
Answer: GCF of Numerators as per given numbers 6073/577, 5208/444 is
GCF of Numerators i.e. for 6073,5208 is 1
LCM of denominators i.e. for 577,444 is 256188.
Thus, GCF of Fractions is 1/256188.Finally, GCF of Fractions for 6073/577, 5208/444 is 1/256188.