Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9017/679,7566/927
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 9017,7566
Greatest Common Factor of Numerators i.e. GCF of 9017,7566 is 1 .
LCM of Denominators means LCM of 679,927 as per the given fractions.
LCM of 679,927 is 629433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9017,7566
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9017
List of positive integer factors of 9017 that divides 9017 without a remainder.
1,71,127,9017
Factors of 7566
List of positive integer factors of 7566 that divides 7566 without a remainder.
1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Greatest Common Factor
We found the factors 9017,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 9017,7566 is 1.
Lets's calculate LCM of 679,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 629433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629433
Therefore, the GCF of Fractions 9017/679,7566/927 is 1/629433
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 679,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,927) x common factors =1 x 1 = 1
LCM(679,927) = ( 679 × 927 ) / 1
LCM(679,927) = 629433 / 1
LCM(679,927) = 629433
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 9017/679, 7566/927?
Answer: GCF of Numerators as per given numbers 9017/679, 7566/927 is
GCF of Numerators i.e. for 9017,7566 is 1
LCM of denominators i.e. for 679,927 is 629433.
Thus, GCF of Fractions is 1/629433.Finally, GCF of Fractions for 9017/679, 7566/927 is 1/629433.