Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 649/299,7662/427
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 649,7662
Greatest Common Factor of Numerators i.e. GCF of 649,7662 is 1 .
LCM of Denominators means LCM of 299,427 as per the given fractions.
LCM of 299,427 is 127673 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 649,7662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 7662
List of positive integer factors of 7662 that divides 7662 without a remainder.
1,2,3,6,1277,2554,3831,7662
Greatest Common Factor
We found the factors 649,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 649,7662 is 1.
Lets's calculate LCM of 299,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 127673
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127673
Therefore, the GCF of Fractions 649/299,7662/427 is 1/127673
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 299,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,427) x common factors =1 x 1 = 1
LCM(299,427) = ( 299 × 427 ) / 1
LCM(299,427) = 127673 / 1
LCM(299,427) = 127673
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 649/299, 7662/427?
Answer: GCF of Numerators as per given numbers 649/299, 7662/427 is
GCF of Numerators i.e. for 649,7662 is 1
LCM of denominators i.e. for 299,427 is 127673.
Thus, GCF of Fractions is 1/127673.Finally, GCF of Fractions for 649/299, 7662/427 is 1/127673.