Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/61,779/692
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 583,779
Greatest Common Factor of Numerators i.e. GCF of 583,779 is 1 .
LCM of Denominators means LCM of 61,692 as per the given fractions.
LCM of 61,692 is 42212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 583,779 . The biggest common factor number is the GCF number.
So the greatest common factor 583,779 is 1.
Lets's calculate LCM of 61,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 42212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42212
Therefore, the GCF of Fractions 583/61,779/692 is 1/42212
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 61,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,692) x common factors =1 x 1 = 1
LCM(61,692) = ( 61 × 692 ) / 1
LCM(61,692) = 42212 / 1
LCM(61,692) = 42212
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 583/61, 779/692?
Answer: GCF of Numerators as per given numbers 583/61, 779/692 is
GCF of Numerators i.e. for 583,779 is 1
LCM of denominators i.e. for 61,692 is 42212.
Thus, GCF of Fractions is 1/42212.Finally, GCF of Fractions for 583/61, 779/692 is 1/42212.