Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/679,7795/592
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 534,7795
Greatest Common Factor of Numerators i.e. GCF of 534,7795 is 1 .
LCM of Denominators means LCM of 679,592 as per the given fractions.
LCM of 679,592 is 401968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,7795
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 7795
List of positive integer factors of 7795 that divides 7795 without a remainder.
1,5,1559,7795
Greatest Common Factor
We found the factors 534,7795 . The biggest common factor number is the GCF number.
So the greatest common factor 534,7795 is 1.
Lets's calculate LCM of 679,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 401968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401968
Therefore, the GCF of Fractions 534/679,7795/592 is 1/401968
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 679,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,592) x common factors =1 x 1 = 1
LCM(679,592) = ( 679 × 592 ) / 1
LCM(679,592) = 401968 / 1
LCM(679,592) = 401968
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 534/679, 7795/592?
Answer: GCF of Numerators as per given numbers 534/679, 7795/592 is
GCF of Numerators i.e. for 534,7795 is 1
LCM of denominators i.e. for 679,592 is 401968.
Thus, GCF of Fractions is 1/401968.Finally, GCF of Fractions for 534/679, 7795/592 is 1/401968.