Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 524/933,2897/596
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 524,2897
Greatest Common Factor of Numerators i.e. GCF of 524,2897 is 1 .
LCM of Denominators means LCM of 933,596 as per the given fractions.
LCM of 933,596 is 556068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 524,2897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 2897
List of positive integer factors of 2897 that divides 2897 without a remainder.
1,2897
Greatest Common Factor
We found the factors 524,2897 . The biggest common factor number is the GCF number.
So the greatest common factor 524,2897 is 1.
Lets's calculate LCM of 933,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 556068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556068
Therefore, the GCF of Fractions 524/933,2897/596 is 1/556068
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 933,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,596) x common factors =1 x 1 = 1
LCM(933,596) = ( 933 × 596 ) / 1
LCM(933,596) = 556068 / 1
LCM(933,596) = 556068
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 524/933, 2897/596?
Answer: GCF of Numerators as per given numbers 524/933, 2897/596 is
GCF of Numerators i.e. for 524,2897 is 1
LCM of denominators i.e. for 933,596 is 556068.
Thus, GCF of Fractions is 1/556068.Finally, GCF of Fractions for 524/933, 2897/596 is 1/556068.