Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/224,6691/7821
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 565,6691
Greatest Common Factor of Numerators i.e. GCF of 565,6691 is 1 .
LCM of Denominators means LCM of 224,7821 as per the given fractions.
LCM of 224,7821 is 1751904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,6691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 6691
List of positive integer factors of 6691 that divides 6691 without a remainder.
1,6691
Greatest Common Factor
We found the factors 565,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 565,6691 is 1.
Lets's calculate LCM of 224,7821
Given numbers has no common factors except 1. So, there LCM is their product i.e 1751904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1751904
Therefore, the GCF of Fractions 565/224,6691/7821 is 1/1751904
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 224,7821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,7821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,7821) x common factors =1 x 1 = 1
LCM(224,7821) = ( 224 × 7821 ) / 1
LCM(224,7821) = 1751904 / 1
LCM(224,7821) = 1751904
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 565/224, 6691/7821?
Answer: GCF of Numerators as per given numbers 565/224, 6691/7821 is
GCF of Numerators i.e. for 565,6691 is 1
LCM of denominators i.e. for 224,7821 is 1751904.
Thus, GCF of Fractions is 1/1751904.Finally, GCF of Fractions for 565/224, 6691/7821 is 1/1751904.