Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/119,307/545
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 573,307
Greatest Common Factor of Numerators i.e. GCF of 573,307 is 1 .
LCM of Denominators means LCM of 119,545 as per the given fractions.
LCM of 119,545 is 64855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Greatest Common Factor
We found the factors 573,307 . The biggest common factor number is the GCF number.
So the greatest common factor 573,307 is 1.
Lets's calculate LCM of 119,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 64855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64855
Therefore, the GCF of Fractions 573/119,307/545 is 1/64855
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 119,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,545) x common factors =1 x 1 = 1
LCM(119,545) = ( 119 × 545 ) / 1
LCM(119,545) = 64855 / 1
LCM(119,545) = 64855
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 573/119, 307/545?
Answer: GCF of Numerators as per given numbers 573/119, 307/545 is
GCF of Numerators i.e. for 573,307 is 1
LCM of denominators i.e. for 119,545 is 64855.
Thus, GCF of Fractions is 1/64855.Finally, GCF of Fractions for 573/119, 307/545 is 1/64855.